find the inverse of f(x)=x^2-3x+2

Find The Inverse Of F(x)=x^2-3x+2

Answers

Answer 1

Answer:

Step-by-step explanation:

y = [tex]\frac{3}{2}[/tex] + [tex]\sqrt{x+\frac{1}{4} }[/tex] and y = [tex]\frac{3}{2}[/tex] - [tex]\sqrt{x+\frac{1}{4} }[/tex]

Find The Inverse Of F(x)=x^2-3x+2
Answer 2

Answer:

Step-by-step explanation:

f(x) = x² - 3x + 2

y = x² - 3x + 2

solve for x as a function of y

y - 2 = x² - 3x

complete the square by adding the square of half the x¹ coefficient to each side of the equation.

y - 2 + (-1.5)² = x² - 3x + (-1.5)²

      y + 0.25 = (x - 1.5)²

    [tex]\sqrt{y + 0.25}[/tex] = x - 1.5

                 x = 1.5 ± [tex]\sqrt{y + 0.25}[/tex]

now swap the x and y variables and revert to function notation

f(x) = 1.5 ± [tex]\sqrt{x + 0.25}[/tex]     domain is x ≥ -0.25

each input will have two outputs except where f(-0.25) = 1.5


Related Questions

Determine if these functions are even, odd, or neither

Answers

Answer:

First Graph: the function is symmetrical around y axis -> Even

Second Graph: the function is neither

how many units is -3 2/3 from zero on the number line

Answers

Answer:

It is 3 2/3 away from zero or 3.7 (3.66666666667) away from zero.

Step-by-step explanation:

It is 3 2/3 away from zero or 3.7 (3.66666666667) away from zero.

How do I solve this? 2(-2w-1.2+7x)

Answers

-4w-2.4+14x this is the answer for this

Write an inequality to represent the graph.
у
(0, 2)
-3
- 2 - 1
7
8
9
10
0
-1
5 6
(4,-1)
-2
-3
-4
-5
-6

Answers

Answer:

The answer is i think(4,1)

Step-by-step explanation:

3
Evaluate the function f(x) = (x + 2)2 for the given inputs.
a. f(5)=
b. f(-3) =
c. f (x+3) =

Answers

Answer:

a. 49

b. 1

c. x^2+10x+25

Step-by-step explanation:

Symply substitute the values (5, -3, x+3) in the equation (x+2)^2

The population of a city grew from 23,000 in 2010 to 25,000 in 2015.
a. What was the average rate of change during this time interval?
Type the answer in the box below.

Answers

The average rate of change during this time interval is 400 population per year

The average rate of change during this time interval is expressed as:

Rate of change = change in population/change in time

Change in population = 25000 - 23000

Change in population = 2000

Change in time = 2015 - 2010

Change in time = 5 years

Substitute into the formula;

Rate of change = 2000/5

Rate of change = 400

Hence the average rate of change during this time interval is 400 population per year

Learn more on Rate of change here: https://brainly.com/question/8728504

derivative for the function of t3+k/t=​

Answers

Answer:

Step-by-step explanation:

I will ASSUME you want the derivative with respect to "t" of the equation

f(t) = t³ + kt⁻¹

f'(t) = 3t² - kt⁻²          which can also be     3t² - k/t²

Last year, a gardening store ordered 8,910 potted plants. This year, they ordered 9,801 potted plants. What is the percent of increase in the number of potted plants ordered annually?

Answers

Answer:

Step-by-step explanation:

100(9801 - 8910)/8910 = 10%

Kyle runs three and one fourth miles in twenty-two and three fourth minutes. He runs each mile in the same number of minutes. How many minutes does it take Kyle to run a mile?

Answers

He runs 3 1/4 miles in 22 3/4 minutes. We can divide 22 3/4 by 3 1/4. Firstly, let’s change these to decimals. This gives us 22.75/3.25

22.75/3.25 is 7. Kyle takes 7 minutes to run a mile.

please help with this problem!!​

Answers

Answer:

1/9 —> 11 1/9%, 1/3 —> 33 1/3%, 5/9 —> 55 5/9%, and 8/9 —> 88 8/9%

Step-by-step explanation:

Answer:

its easy. just match numbers that look close to each other

Step-by-step explanation:

John types 265 words in 5 minutes. At this rate, how many words does he type per minute

Answers

Answer:

John can type 53 words per minute

Step-by-step explanation:

You would divide 265 by 5 to get the result of 53.

Answer: John types 53 words a minute

Step-by-step explanation:

1 We know he types 265 words in 5 minutes

2 DIvide 265 by 5 to get one minute

3 the answer is 53, so he types 53 WPM

112
121
124
137
147
156
173
189

Find the median revenue.

Answers

Answer:

142

Step-by-step explanation:

Median is the MID Number

Find the sum of the first 48 terms of the following series, to the nearest integer. 7,11,15

Answers

Answer:

7, 11, 15, 19, 23, 27, 31... and keep going until you have an answer.

Step-by-step explanation:

Just keep adding 4 until you have all the 48 terms you need.

the elevation of the salton sea in california is 66 meters below sea level. which integer best represents this elevaton in meters?

please help

Answers

Answer:

-66

Step-by-step explanation:

If we use 0 as the centre of all numbers, and another number is 66 below this baseline, we could say that it is -66 meters above sea level, or 66 meters below sea level.

I need help finding the value of z!

Answers

Answer:

thus

Step-by-step explanation:

Korelasi Rank Spearman digunakan untuk mencari hubungan atau untuk menguji signifikansi hipotesis asosiatif bila masing-masing variabel yang dihubungkan berbentuk Ordinal.

F(t) = 200(0.95)^t
What is the rate of change?

Answers

Answer:

f(t)=-5%

Step-by-step explanation:

Answer:

the rate of change is 5%

Step-by-step explanation:

Given : Function

To find: What is the rate of change?

Solution :

The given function is an exponential function as it is in form

in which b is the factor of rate,

If b=1+r then r is the growth rate

If b=1-r then r is the decay rate.

We have given b=0.95

So, 0.95=1-r

r=1-0.95

r=0.05

i.e, It is a decay rate with 5%.

Therefore, The rate of change is 5%.

A college is selling tickets to the annual battle of the bands
competition. On the first day of ticket sales, the college sold 3
student tickets and 5 adult tickets for a total of $70. On the
second day, the college sold 12 student tickets and 12 adults
tickets for a total of $216.
Use elimination to solve the system of linear equations and
determine the price of each student ticket, x, and each adult
ticket, y. Write your answer as an ordered pair (x,y).

Answers

Answer:

Step-by-step explanation:

Answer:

(10,8)

Step-by-step explanation:

Which numbers complete the blanks when solving the equation cos(x+2π) = - √2/2 over the interval [0,2π]

Answers

Answer:

x = 3π/4, 5π/4

Step-by-step explanation:

cos(x+2π) = -√2/2, [0,2π]

cos(x)cos(2π)-sin(x)sin(2π) = -√2/2

cos(x) = -√2/2

x = 3π/4, 5π/4

Remember that the cosine function is periodic, so cos(θ+2π)=cos(θ).

Find the 53" term of the following arithmetic sequence.
3, 11, 19, 27, ...

Answers

Answer:

419

Step-by-step explanation:

a=3

d=11-3=8

[tex]a_{n}=a+(n-1)d\\n=53\\a_{53}=3+(53-1)*8\\=3+52*8\\=3+416\\=419[/tex]

6:4 is equivalentto blank:24

Answers

24/4=6 so we must do 6x6=36. The final answer is 36:24

Please help!! I will give a good rating and brainliest if it let's me!!!!

Answers

Answer:

3/4 is the slope

Step-by-step explanation:

slope= mx+b

so,

(10,30) is an exact meet

so is (50,60)

so what is the rise/run

answer

30/40

or

3/4

so mx+b=

3/4x+22

full equation is 3/4x+22

What happens to the median of the data set below if the number 10 is added?

{2, 4, 8, 2, 7, 6, 18, 20, 24}

Answers

Answer:

The median goes up 0.5

Step-by-step explanation:

Before the number 10.

Mean x¯¯¯ 10.111111111111

Median x˜ 7

Mode 2

Range 22

Minimum 2

Maximum 24

Count n 9

Sum 91

Quartiles Quartiles:

Q1 --> 3

Q2 --> 7

Q3 --> 19

Interquartile

Range IQR 16

Outliers none

After 10 is added.

Mean x¯¯¯ 10.1

Median x˜ 7.5

Mode 2

Range 22

Minimum 2

Maximum 24

Count n 10

Sum 101

Quartiles Quartiles:

Q1 --> 4

Q2 --> 7.5

Q3 --> 18

Interquartile

Range IQR 14

Outliers none

It goes up .5.

PLEASE HELP MEEE!!!!
5. Jared visited his family doctor after suffering for days with a rash that appeared on his ankles and calves as soon as he arrived home from camp. Jared's doctor asked him several questions about his activities during the past week, including the places he'd been and the kind of clothing he wore. Then the doctor announced that Jared had a nasty case of polson Ivy.

What kind of reasoning did Jared's physician use to make a diagnosis? Explain how you you were able to tell what kind of reasoning was used.

Answers

Answer:

I would say Inductive reasoning.

Step-by-step explanation:

Inductive reasoning is defined as "A method of reasoning in which a body of observations is synthesized to come up with a general principle." and this is exactly what the doctor did to come up with his diagnosis.

Hope this helps you out a bit.

Answer:

Deductive reasoning

Step-by-step explanation:

Deductive reasoning, he was given some simple information and any person could simply assume he had poison ivy, as it was made clear he had most likely been around it. And deductive reasoning is basically reasoning based off a few questions from which you can draw a conclusion from.

I need help with a quiz

A rectangular prism has a volume of 960 cubic units. The area of the base is 80 square units. What is the height of the prism?

Answers

Answer: the area of the base will be multiplied by 4, since it will be changed from LW to

(2L)(2W) = 4LW

So, apply that to finding the new volume.

If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

A rectangular crystal has a volume of 960 cubic units. The region of the base is 80 square units.

The height of the prism will be given as,

960 = 80 x H

H = 960 / 80

H = 12 units

If the rectangular prism has a volume of 960 cubic units. Then the height of the prism will be 12 units.

More about the volume of the rectangular prism link is given below.

https://brainly.com/question/21334693

#SPJ2

Find the quotient. If possible, rename the quotient as a mixed number or a whole number. Write your answer in simplest form, 2 1/7 divided by 1 2/5 =?

Answers

Answer:

1 26/49

Step-by-step explanation=

2 1/7 ÷ 1 2/5

15/7 over 1 2/5

15/7 over 7/5  

75/49  

= 1 26/49

Marco buys a wooden board that is 12 feet long. The cost of the board is $1.25 per foot, including tax. What is the total cost, in dollars, of Marco's board?​

Answers

The cost of the length of wood Marco buys depends on the price of the wood.

The total cost in dollars of Marco's board is $15

Reasons:

The length of the wooden board Marco buys (quantity) = 12 feet

The cost of the board per foot, including tax (price) = $1.25

Let x represent the percentage of the tax applied to the total cost, and let y represent the cost before tax, we have;

Cost per foot, C₁ = 1.25 = y + x·y

The cost of 12 feet of the wooden board is given by the proportional relationship between cost, price and quantity as follows;

Cost = Price × Quantity

The cost of 12 feet of the wood is therefore;

Cost of 12 feet, C₁₂ = 12 × y + 12 × x·y = 12 × (y + x·y) = 12 × $1.25 = $15

The cost of 12 feet of wood = $15

Learn more about proportions here:

https://brainly.com/question/65853

Please help! photo is attached with the problem.

Answers

I can’t read it sorry

I was absentee and i dont know how to solve it help plz

Answers

Answer:

-1/3 or 1/-3 (it doesn't matter which one you pick because its still the same)

Step-by-step explanation:

You find slope by doing rise over run. Its left to right so you start on the left dot and go down one. This makes it -1 because you're going down, not up. You move 3 to the right which makes it positive. Once you do this itll lead you right the the 2nd point. 1 down= -1

                                       3 right=   3  

                                                -1/3

During a visit to the tide pools, Brent observed 16 sea stars, 4 sea urchins, and 52 sea anemones. What is the ratio of sea anemones to sea stars?

Answers

Answer:

16 to 52

Step-by-step explanation:

givien the function 6x+6y=5 rearrange the equation so that x is the independant varible

Answers

Answer:

so 6x = -6y + 5

divide by 6

x = 5

Step-by-step explanation:

Other Questions
please help i will give brainliest A toaster oven indicates that it operates at 1500 W on a 110 Vcircuit. What is the resistance of the oven? how is The Gift of the magi similar or different to things happeningin real world? what is the answer? SIMPLE . Helping old is a ____ work for students to do in summer holiday. Can someone plz help me? :( The TV station, in _______ to massive popular demand, decided notto discontinue the soapopera.A. reactionB. responseC. answerD. rely Read the following passage and answer the question.Never another master kind as he!Ill never find one no matter where I go,not even if I went back to mother and father,the house where I was born and my parents reared me once.Ah, but much as I grieve for them, much as I longto lay my eyes on them. Set food on the old soil,its longing for him, him that wrings my heart Odysseus, lost and gone!That man, old friend, far away as he isI can scarcely bear to say his name aloud,so deeply he loved me, cared for me, so deeply.Worlds away as he is, I call him my Master, Brother!Which theme is being expressed in this passage?hospitalitytemptationprideloyalty what is the name of the tubes that run from the kidneys to the bladder? Malachi is practicing math fluency. He has 100 math operation flashcards with 42 addition problem cards, 56 subtraction cards, and 2 multiplication cards. He will time himself to see how fast he can solve the problems on two cards. He chooses his two cards and they are both multiplication cards. Is choosing two multiplication cards likely? Explain by running a simulation.Part A: State the problem or question and assumptions. (2 points)Part B: Describe the process for one repetition, including possible outcomes, assigned representations, and measured variables. (3 points)Part C: Use digits from a table of random digits or use your calculator to perform one repetition. Submit the list of random digits and indicate those that represent multiplication cards. (3 points)Part D: Suppose there were 5 times when both cards selected were multiplication cards after 1,500 repetitions of the simulation. State your conclusions from these results. (2 points)Essay Submission The side of a cube is found to be 127.58 mm and its mass is found to be 7.3 kg. Determine the density of this cube in g/mL. 6.Eos: "Helios? Ha! That's a laugh! Helios doesn't have children!"(laughter from the others)A.body languageB.stage directionsC.voice controlD. gestures -2(x+1)= -2+5How you solve that? Answer this question for me please!!!-What is the theme?-What is the meaning and the message of the story that you read? Which of these might affect how an age-of-consent law. What is the remainder when (3x3 "" 2x2 4x "" 3) is divided by (x2 3x 3)?. Carl placed $2,600 in a savings account that compounds interest annually at a rate of 0.5%. How much will he have in the account after 7 years 1. Write an equation for a line that passes through the origin and is perpendicular toy = 5x 2. Directions- Read the quotes and explain the importance of the Constitution in each situation. According to each quote, who would this person be a Federalist or Anti-Federalist and Why? 1. The Constitution is the guide which I never will abandon. -George Washington 2. Our Constitution was made only for a moral and religious people. It is wholly inadequate to the government of any other. -John Adams 3.Don't interfere with anything in the Constitution. That must be maintained, for it is the only safeguard of our liberties. -Abraham Lincoln What is General training?