For all values of x,
f(x) = 2x-3 and g(x) = x²+1

a) Find fg(x)
Simplify and give your answer in the form ax² + b

b) Find gf(x)
Simplify and give your answer in the form ax² + bx+c

For All Values Of X,f(x) = 2x-3 And G(x) = X+1a) Find Fg(x)Simplify And Give Your Answer In The Form

Answers

Answer 1

Answer:

For f(x) = 2x + 3 and g(x) = -x 2 + 1, find the composite function defined by (f o g)(x)

(f o g)(x) = f(g(x))

= 2 (g(x)) + 3

= 2( -x 2 + 1 ) + 3

= - 2 x 2 + 5 Given f(2) = 3, g(3) = 2, f(3) = 4 and g(2) = 5, evaluate (f o g)(3)

Step-by-step explanation:


Related Questions

For which of the following equations is (-3,-2) not a solution?

Answers

Answer:

-5

Step-by-step explanation:

Just add the numbers and if they both got negative numbers it is negative

No equation in the answer choices has a solution pair of (-3,-2) as as evident from the computation below.

Solution pair for Equations

To determine which equations are not satisfied by the solution pair; (-3,-2), we must substitute the solution pair into each equation as follows;

−3x=4y−6; -3(-3) = 4(-2) - 6; 9 = -14; False

y=x−1; -2 = -3 -1; -2 = -4; False

5x+2y=−16; 5(-3) + 2(-2) = -16; -19 = -16; False

2(-2) - 3(-3) = 0; +5 = 0; False

It follows form the computation above that, the solution pair is not a solution to any of the equation choices.

Remarks:

Select one: a. −3x=4y−6 b. y=x−1 c. 5x+2y=−16 d. 2y−3x=0

Read more on solution pair of equations;

https://brainly.com/question/25792305

find the exact perimeter, please help :)

Answers

I hope this helps you

find trapezoid sides from right triangle

base is 2 unit and the height is 6 unit

let's find hypothenus(trapezoid side)=x

x^2=2^2+6^2=40

x=2 square root of 10

let's sum of the trapezoid sides

2x+2 bases

4 square root of 10+(7unit+3unit)

4 square root of 10 +10

Can someone plzzz helpp mesee

Answers

Answer:

104

Step-by-step explanation:

sso if you use the angle right it looks just right

Answer:

[tex] m\angle EFG = 52\degree[/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle EFG =\frac{1}{2} m\angle EDG[/tex]

[tex] (x+51)\degree =\frac{1}{2}(10x +94)\degree [/tex]

[tex] (x+51)\degree =\frac{1}{2}\times 2(5x +47)\degree [/tex]

[tex] (x+51)\degree =(5x +47)\degree [/tex]

[tex] x+51 =5x +47 [/tex]

[tex] x+51 - 47=5x - x[/tex]

[tex] 4=4x[/tex]

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

[tex] x=1[/tex]

[tex] \because m\angle EFG = (x+51)\degree[/tex]

[tex]\therefore m\angle EFG = (1+51)\degree[/tex]

(plug x = 1)

[tex] \therefore m\angle EFG = 52\degree[/tex]

Please just give me the answer

Answers

Answer:

x = 4

Step-by-step explanation:

We use the formula:

a² + b² = c²

x² + 3² = 5²

x² + 9 = 25

x² = 16

[tex]\sqrt{x^2} =\sqrt{16}[/tex]

x = 4

A ladder leans against the side of a house the top ladder is 16 ft from the ground the bottom of the ladder is 12 ft from the side of the house find the length of the ladder if necessary round your answer to the nearest tenth

Answers

Answer:

[tex] {h =}^{2} = {p}^{2} \: + {b}^{2} [/tex]

[tex] {h}^{2} = {16}^{2} + {12}^{2} [/tex]

[tex] {h}^{2} = 256 + 144[/tex]

[tex]h = \sqrt{400} [/tex]

[tex]h = 20[/tex]

therefore the length of the ladder is 20ft

during the fall a pumpkin patch advertises four pumpkin for $11.oo which equation below respresents this proportional relationship

Answers

Answer:

11x4=44

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

a^2+b^2=c^2

10^2+b^2=17^2

100+b^2=289

-100         -100

       b^2=  189

      b= the square root  of 189

b=13.7477270849

find the x please!!!!

Answers

Step-by-step explanation:

All 3 angles add up to be 180 due to sum of angles in a triangle.

Given this fact,

[tex]38 - 5x + 83 + 24 = 180 \\ 145 - 5x = 180 \\ - 5x = 180 - 145 \\ - 5x = 35 \\ x = 35 \div - 5 \\ = - 7[/tex]

Answer:

(38 - 5x)⁰ + 83⁰ + 24⁰ = 180⁰

<=> (38 + 83 + 24) - 5x = 180

<=> 145 - 5x = 180

<=> 5x = 145 - 180

<=> 5x = - 35

<=> x = - 7

Help me with #6 Please

Answers

Answer:

4 - pi

Step-by-step explanation:

we see that the inner square leg is 2 inch because its radius + radius

which is 1+1 (two circles diameters are 4 inches, so one circle has 1 inch radius) square area = 4 inches.

we subtract the area of 4 circle quadrants which is a circle area.

area of the circle is pi r^2, r = 1 so A = pi inch

the shaded region is (4 - pi) inch squared.    

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

True

Step-by-step explanation:

Hope this is helpful

Answer:

It's true.

Step-by-step explanation:

Hope this helps.

Please mark as brainiest!

-9q = 63 what would be q

Answers

Answer:

-7

Step-by-step explanation:

-9q = 63

q= 63/-9 = -7

Evaluate the expression for x=-2 and y=9.
xy + y =

Answers

Answer:

-18 + 9 = -9

Step-by-step explanation:

-2 x 9 = -18

If we reflect point D(2,-3) over the y-
axis, what is the new image?
D'(-2,3)
D'(-2,-3)
D'(2,-3)
D'(2,3)

Answers

Your answer would be (-2,3) because it’s reflecting over the y (vertical) axis

PLEASE HELPPPPPP...

Between which, two months was the largest decrease in profits recorded? What was the amount of the decrease?


April to May, $4,000 <-

February to March, $4,000

April to May, $5,000 <-

February to March, $5,0000

Answers

april to may $5,000

Answer:

Between which two months was the largest decrease in profits recorded? What was the amount of the decrease?

February to March, $4,000

April to May, $4,000

April to May, $5,000

February to March, $5,000

Step-by-step explanation:

C. is right

A cone has a volume of 565.2 cubic millimeters and a radius of 6 millimeters. What is its
height?
Use I 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

h = 15 mm

Step-by-step explanation:

Given that,

The volume of a cone, V = 565.2 cubic millimeters

The radius of the cone, r = 6 mm

We need to find its height. The formula for the volume of the cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h[/tex]

Where

h is the height of the cone

[tex]h=\dfrac{3V}{\pi r^2}\\\\h=\dfrac{3\times 565.2 }{3.14 \times 6^2}\\\\h=15\ mm[/tex]

So, the height of the cone is equal to 15 mm.

What is the following difference?
11 inverse 45 -4 inverse 5

Answers

He’s correct good job!

Roscoe is locked outside his house.The only unlocked window is on the 2nd floor which is 24 feet from the ground. He will have to borrow a ladder from the neighbors house and place it 7 feet from the house. What length of ladder does he need to reach the 2nd floor safely

Answers

Answer:

25 feets

Step-by-step explanation:

The scenario above can be modeled and solved Using Pythagoras :

Height to second floor = 24 feets

Horizontal Distance between foot of ladder and wall = 7 feets

Let length of ladder = x

The lengtb of ladder here is the hypotenus

Recall:

Hypotenus = sqrt(opposite² + adjacent²)

Hence,

x = sqrt(24² + 7²)

x = sqrt(576 + 49)

x = sqrt(625)

x = 25

Hence, length of ladder = 25 feets

Use the data for the books each class donated for a book drive.
Books Donated
28
15
40
45
27
19
50
36
42
37
21
25

Find the Median.

Answers

Answer:

rearrange in ascending order

15,19,21,25,27,28,36,37,40,42,45,50

using formula (n\2)th + (n/2)+1)th/2

(12/2)th + (12/2)+1)th/2

6th +7th/ 2

the 6th number=28and the 7th number=36

28+36/2

64/2

32

median =32

If 4% of the population catch a certain disease, find the probability that in a group
of 200 people, exactly 3 will get the disease.

Answers

3/200=1.5/100
Tbh i don’t know I’m guessing it’s 1.5%

A triangle is shown.
300
44 in.
What is the length, in inches (in.), of side a?
in.

Answers

For this you have to do sin of 30 degrees so if you have a calculator put sin(30)= a/44 and solve for a

What is FG?

NEED HELP QUICK!!

Answers

Answer:

FG = 18

Step-by-step explanation:

FD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{24}{54}[/tex] = [tex]\frac{x}{x+10}[/tex] ( cross- multiply )

54x = 24(x + 10)

54x = 24x + 240 ( subtract 24x from both sides )

30x = 240 ( divide both sides by 30 )

x = 8

Then

FG = x + 10 = 8 + 10 = 18

Answer:

50

Step-by-step explanation:

90-54=36

then u do 36-10 which will give u 26

that will be f then u do 90-50 which is 40 and 40 is the x so now that u got x u can add that to ten which will give u fifty if that's not the way u want it or if this is wrong then i tried cause that what i got

so uh this is due tomorrow

Answers

He will make 374.85 this week .

PLEASE HELP ASAP! 100 PTS *TRIGONOMETRY*
1. Find the measure of the side indicated (x). Round to the nearest tenth. Show your work to support your answer. (First Picture)
2. Find the measure of the angle indicated (x). Round to the nearest tenth. Show your work to support your answer. (Second Picture)

Answers

1:

cos (37)= 11/x

x(cos(37))= 11

x= 11/cos(37)

x= 14.4

2:

tan (0)= 4/13

0= tan^-1/ 4/13

0= 0.3

x= 0.3

have a nice day :)

Step-by-step explanation:

solution:

A.

relation between hypotenuse and base is given by cos angle

so

[tex] \cos(ø) [/tex]=base/hypotenuse=11/x

cos37°=11/x

x=11/(cos37°)=13.77units

side indicated =x=13.77units

solution:

B.

relation between perpendicular and base is given by tan angle

so

[tex] \tan(ø) [/tex]=perpendicular/base=4/13

ø=tan-¹ (4/13)=17.10°

angle indicated =ø=17.10°

Which is a solution of 2x(8x + 5) (7x – 13) = 0?

Answers

Answer:

Step-by-step explanation:

This has 3 solutions

2x = 0                          Divide by 2

x = 0

8x + 5 = 0                   Subtract 5 from both sides

8x = - 5                       Divide by 8

x = - 5/8

x = -0.625

7x - 13 = 0                   Add 13 to both sides

7x = 13                         Divide by 7

x = 13/7

x = 1.86

help please, solve for D
12
25
4
5

Answers

Answer: 81.98274589 is what i got but it will be 81 hope this helped

Step-by-step explanation:

Which of these serves as a way to help get rid of waste and is most commonly found in animal cells not in plant cells?

A. a membrane
B. a nucleus
C. chloroplasts
D. lysosomes

Answers

D. Lysosomes


Only Plant cells have chloroplasts
Both plant and animal cells have nucleus and a membrane

Only an animal cell has lysosomes.

PLEASE HELP (30 points)
(I will report fake answers or links)
Solve each equation by completing the square.If necessary,round to the nearest hundredth.

10.) b2+10b=75

11.) y2-18y=63

12.) n2-20n=-75

13.) a2+16a=-15

14.) t2+8t-9=0

15.) h2-12h-9=0

Answers

Answer:

10) b = 6.25

11) y = -3.94

12) n = 4.16 repeating

13) a = -0.83 repeating

14) t = 0.9

15) h = -0.9

Hope this helps!

Del total de alumnos de una escuela de Medellín, la mitad nació en Medellín, un tercio en otros pueblos de Antioquia y los restantes en otros países. Si son 83 los alumnos extranjeros, el número de alumnos que nacieron en Medellín es: A. 498 B. 166 C. 250 D. 249

Answers

Answer:

OK

Step-by-step explanation:

What language us That

The time it takes to drive from the New York to Florida is normally distributed
with u = 19 hours and o = 2.5 hours. What is the probability that the next
time someone drives from NY to FL it will take between 20 and 24 hours?

Answers

Answer:

32.18%

Step-by-step explanation:

Just took the test

The final answer is: 32.18%

Got it right when I did it! :)

Linda used 36 m of fencing to enclose a rectangular section of her back yard .
What might the area of the enclosed section be? Give three different answers.

Answers

Answer:

so you'll take width (or w) and times it by Height (or h)

50 x 100 = 5000 = example

I hope this helps...

Step-by-step explanation:

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