Find the inverse function in slope-intercept form (mx+b):

f(x)=2x-8

Find The Inverse Function In Slope-intercept Form (mx+b):f(x)=2x-8

Answers

Answer 1

Answer:

[tex]\sf f^{-1}(x) = \dfrac{x}{2}+4[/tex]

Step-by-step explanation:

A function is given to us and we need to find the inverse of the function in slope intercept form . The given function is ,

[tex]\sf\implies f(x) = 2x - 8 [/tex]

Let us assume that y = f(x) , so that ,

[tex]\sf\implies y = 2x - 8 [/tex]

Now interchange the positions of x and y , we have ,

[tex]\sf \implies x = 2y - 8[/tex]

Solve for y in terms of x ,

[tex]\sf \implies 2y = x + 8 \\\\\sf\implies y =\dfrac{x}{2}+4 [/tex]

This is the inverse of the function in slope intercept form. Now we can replace this y with f-¹(x) , as ,

[tex]\sf \implies \boxed{\pink{\frak{f^{-1}(x) = \dfrac{x}{2}+4}}}[/tex]


Related Questions

8/7 divided by 5/2?

Answers

Answer:

16/35

Step-by-step explanation:

(8/7)/(5/2)

8/7 * 2/5

16/35

The sum of two consecutive odd numbers is 1408. What are the numbers?
Put the smaller number first comma then the larger number.

Answers

Answer:

703,705

Step-by-step explanation:

divide 1408 by 2

add one for one number

subtract one for the other

A term may be written in index form to?
a) Make calculation easier
b) Represent large numbers
c) Show repeated multiplication
d) All the above​

Answers

Answer:

A.make calculation easier

Please help I have 15 minutes left for my assessment. Thank you!

Answers

Answer:

57kg

Step-by-step explanation:

We need to find the length of each piece of metal:

We already know that 2 of them are 6m and 8m and this would be the same for the pieces of metal opposite.

So we have four lengths - 6m, 6m, 8m, and 8m

To find the last length, we need to use pythagoras theory

a² + b² = c² where c is the slanted side, or the diagonal

6² + 8² = c²

36 + 64 = 100

c² = 100

c = √100 = 10

So the five lengths are 6m, 6m, 8m, 8m, and 10m and the total is 38m

If:

1m = 1.5kg

38m = ?kg

We have to multiply both sides by 38

1m × 38 = 38m

1.5kg × 38 = 57kg

So, the total weight of metal in the frame is 57kg

Marie bought 6 pounds of apples for $0.87 per pound and
paid for them with a $10 bill. How much did she get back
in change?

Answers

Answer:

5.22

Step-by-step explanation:

rjskstks5oslyatkao5sylslgsltsirsotzktzo

Answer:

$4.78

Step-by-step explanation:

6 x 0.87 = 5.22

10.00 - 5.22 = 4.78

Maire got $4.78 back

in change

what is 3/4 times 8/9?! plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

2/3

Step-by-step explanation:

= 3/4 * 8/9

= 24/36

simplify by 4

= 6/9

simplify by 3

= 2/3

Answer:

24 /36 or 2/3

Step-by-step explanation:

3 x 8 = 24

4 x 9 = 36

24/36

Simplify the fraction to get 2/3

Therefore, 2/3 would be your answer.

-kiniwih426

please help me!!!!! ​

Answers

Answer:

The equation is 39=3r-6

Step-by-step explanation:

Let x = # of years from the start of the Great Depression to the first Presidential election of Nixon

Let r = Raul's age

The question gives us what x equals so...

x=39

Now we just turn the sentence into an equation.

"The number of years from the start of the Great Depression to the first Presidential election of Nixon [(x)] is six years less than three times Raul's age [(3r-6)]"

Remove the icky words...

x=3r-6

replace x with what it equals (39)

39=3r-6

Now you can go on to olve it

Overal Raul is only 15 :)

HELP ME PLEASE I AM DESPERATE THIS IS ALMOST DUE!!!!!
What is the slope for this graph?

Answers

Answer: The answer is 2

Step-by-step explanation:

Please mark me as Brainiest

Answer: The answer is 2

Step-by-step explanation:

1/(2+i)²

Solve this question....​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

Given complex number is

[tex]\rm \longmapsto\:\dfrac{1}{ {(2 + i)}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{1}{4 + {i}^{2} + 2 \times 2 \times i} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{4 - 1 + 4i} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{3+ 4i} [/tex]

[tex]\rm \:  =  \: \dfrac{1}{3+ 4i} \times \dfrac{3 - 4i}{3 - 4i} [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{ {3}^{2} - {(4i)}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{9 -16 {i}^{2} } [/tex]

We know,

[tex] \rm \longmapsto\:\tt{ {i}^{2} \: = \: - \: 1 \: } \\ [/tex]

So, using this, we get

[tex]\rm \:  =  \: \dfrac{3 - 4i}{9 -16( - 1)} [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{9 + 16} [/tex]

[tex]\rm \:  =  \: \dfrac{3 - 4i}{25} [/tex]

[tex]\rm \:  =  \: \dfrac{3}{25} - \dfrac{4}{25}i[/tex]

12 lightbulbs are tested to see if they last as long as a manufacturer claims they do three lightbulbs failed a test two light bulbs are selected at random without replacement find the probability that both light bulbs failed the test

Answers

Using the hypergeometric distribution, it is found that there is a 0.0455 = 4.55% probability that both light bulbs failed the test.

The bulbs are chosen without replacement, and this is why the hypergeometric distribution is used to find the probability.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.

In this problem:

12 bulbs, thus [tex]N = 12[/tex]3 failed the test, thus [tex]k = 3[/tex].2 are selected, thus [tex]n = 2[/tex].

The probability that both failed the test is P(X = 2), thus:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,12,2,3) = \frac{C_{3,2}C_{9,0}}{C_{12,2}} = 0.0455[/tex]

0.0455 = 4.55% probability that both light bulbs failed the test.

A similar problem is given at https://brainly.com/question/24826394

help please !! geometry​

Answers

2 and 5. Because of congruence rule. It tries to confuse u but don’t let it. Also always remember if those lines are there u know there congruent no matter what.

Synthetic Division x^3+9x^2-11x-13

Answers

Answer:

You can't synthetic divide since there's no dividend. As you can't factor it so I figure you must've forgot to include something or there's no solution.

Simplify the radical please I need sleep it's 1 am I wake up at 4

Answers

Answer:

[tex]4cba*\sqrt{5bc}[/tex]

Step-by-step explanation:

[tex]\sqrt{4^{2} *5a^{2}b^{2}bc^{2} c }[/tex]

[tex]4cba*\sqrt{5bc}[/tex]

Find the quotient of 902÷27
(It has a remainder)

Answers

Answer:

The quotient of 902 divided by 27 equals 33 and the remainder is 11.

-16>x divided by 2
Solve for x.

Answers

Answer:

x < -32

Step-by-step explanation:

Need help asap pls pls pls

Answers

Answer:

why do you want to know

Step-by-step explanation:

hahahahahahahaha

i need an explanation what....wajfasjf

Answers

3y^2 i don’t know for sure

solve −2 1/4⋅(−2 1/3)

a −5 1/4
b −4 1/1
c 4 1/12
d 5 1/4

Answers

Answer:

5 1/4

The answer is d (d 5 1/4)

Answer: D

Step-by-step explanation:

[tex]-2\frac{1}{4}[/tex] × [tex]-2\frac{1}{3}[/tex]

= [tex]\frac{-9}{4}[/tex] × [tex]\frac{-7}{3}[/tex]

= [tex]\frac{3}{4}[/tex] × [tex]7[/tex]

= [tex]\frac{21}{4}[/tex] or [tex]5\frac{1}{4}[/tex]

please give me a brainliest answer

Can someone help me with this

Answers

-6 + x = -7

+6        +6        add 6 to both sides, 6's cancel out on the left.

________

x = -1, is the answer.

Hope this helps! Let me know if you have any other questions related to this problem. :)

Answer:

x= -1

Step-by-step explanation:

-6+x = -7

x = -7+6

x= -1

Evaluate the expression (ill give brainiest)

Answers

Answer:

2 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Substitute the given values into the expression

2 ( [tex]\frac{1}{16}[/tex] + ([tex]\frac{1}{4}[/tex] )² ) + 5([tex]\frac{1}{2}[/tex] )

= 2 ( [tex]\frac{1}{16}[/tex] + [tex]\frac{1}{16}[/tex] ) + [tex]\frac{5}{2}[/tex]

= 2 ([tex]\frac{2}{16}[/tex] ) + [tex]\frac{5}{2}[/tex]

= 2 ([tex]\frac{1}{8}[/tex] ) + [tex]\frac{5}{2}[/tex]

= [tex]\frac{1}{4}[/tex] + [tex]\frac{10}{4}[/tex]

= [tex]\frac{11}{4}[/tex]

= 2 [tex]\frac{3}{4}[/tex]

HELPPPP MMEEE

PLEASE

Answers

Answer:

x2 and 7x

Step-by-step explanation:

thats correct

x2 + 7x =18

1.4×10−5 and 2.8×10−4

Answers

Answer:

Step-by-step explanation:

Step one- is solving the left side of the equation using PEMDAS, 1.4x10 = 14

Step two- 14-5 = 9

Step 3 - 2.8 times 10 = 28

Step 4 - 28- 4 = 24

The answer is 9 and 24

The scale of a blueprint is 1 in.=20 ft.
The length of a wall in the blueprint is 2.5 in. What is the length of the actual wall?
What is the blueprint length of an entrance that is 5 ft wide?

Answers

Answer:

1) 50 feet

2) 0.25 or 1/4 inches

Step-by-step explanation:

If one inch is equal to 20 feet, then multiply 20 by 2.5 to find the length of the actual wall

5 feet is a fourth of 20 feet, and since 1 inch is equal to 20 feet, it would also be a fourth of an inch

50 POINTS!
PLEASE HELP THIS MAKES NO SENSE AT ALL!! IM BEING TIMED

Answers

Answer: the last one i think if i'm wrong then im so sorry

The line through (-2, 3) with slope 2/3 in point slope form​

Answers

Answer:

y - 3 = 2/3(x + 2)

Step-by-step explanation:

slope = 2/3

point-slope form --> y - y1 = m(x - x1)

y - 3 = 2/3(x - -2)

y - 3 = 2/3(x + 2)

point slope form of the line is y - 3 = 2/3(x + 2)

Answer:

y - 3 = 2/3(x + 2)

Where is the velocity negative?
E
B
A
G

Answers

Hello! The answer is

D-F

The V is negative when the velocity graph goes down. Hope this helps!

#HaveAnAmazingDay

[tex]GraceRosalia[/tex]

Quick I need Helpppp!!

Triangle EFT is congruent to triangle JKL. What is KL, in units

Answers

Answer:

KL = 6 units.

Step-by-step explanation:

Congruent means the same or similar.

Hope this helps!

There are 2304 students sitting in the auditorium in such a way that each row contains as many students as the number of rows. How many rows are there in the auditorium? ​

Answers

Answer:

48

Step-by-step explanation:

[tex]\sqrt{2304}[/tex] = 48 * 48

To have the same number of rows and students, it shall be each row contains 48 students and 48 rows overall

2304 is a perfect square . So if you know that 48 x 48 is 2304 . Then you would figure out that there are 48 rows with 48 students in each row .
The answer is : 48 rows in the auditorium

i am never able to do these, their so confusing yet SO easy- please help!

Answers

Answer:

a) independent: area to be painted in sq ft

dependent: amount of paint needed in gallons

b) independent: amount of milligrams

dependent: amount of sleep

Step-by-step explanation:

Easy tip to remember that is almost always right:

Your X variable is always independent, and your Y variable is always dependent.

If you aren't given these variables, another thing you can do is ask for example, question a, ask yourself, "is the area you paint dependent on the amount of paint you need?" , or "is the amount of paint you need, dependent on how much your painting?"

Which variable depends on your other variable? Would help you find your dependent variable.

It makes sense that, the number of paint you need depends on how much sq ft you are painting.

Answer:

a) Independent variable: x (area to be painted)

   Dependent variable: y (amount of paint needed)

b) Independent variable: x (amount of medication)

    Dependent variable: y (amount of sleep)

Step-by-step explanation:

Independent variables are variables that do not depend on other variables to determine their values.

Dependent variables are variables that depend on other variables to determine their values.

8.5 inches to centimeters

Answers

answer: 21.59

I hope this helps! Let me know if you have any questions! Good luck on the rest of your assessment!

Mark this as Brainliest (if i helped of course) if you get a chance:)

Answer:

21.59cm

Step-by-step explanation:

Multiply 8.5 by 2.54 to convert in. to cm.

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