20 points!!! Will mark brainlist to whoever gives me the correct answers with the work:)

Use the information below for Part A, Part B, and Part C.

f(x) = 1/2x -7

g(x) = 2x + 14

Part A: Find (fog)(x). Show your work.

Part B: Find (gºf)(x). Show your work.

Part C: Use your answers to Part A and Part B to determine whether the two functions are inverses. Explain your answer fully.

Answers

Answer 1

Answer:

(1/2(2x+14)-7) = 1x+7-7= x g(f(x))= 2(1/2x-7)+14= x-14+14= xWe have the result being two variables of linearity hence they are not inverses. In order to be inverses they should have had switched notations, ie: -x vs x

Answer 2

9514 1404 393

Answer:

  A:  (f∘g)(x) = x

  B:  (g∘f)(x) = x

  C:  the functions are inverses

Step-by-step explanation:

A: (f∘g)(x) = f(g(x)) = f(2x +14)

  = 1/2(2x +14) -7 = x +7 -7 = x

  (f∘g)(x) = x

__

B: (g∘f)(x) = g(f(x)) = g(1/2x -7)

  = 2(1/2x -7) +14 = x -14 +14 = x

  (g∘f)(x) = x

__

C: When a function is operated on by its inverse, then original argument value is restored. That is the case for functions f and g, so the two functions are inverses.


Related Questions

I WILL GIVE BRAINLIEST TO HOWEVER GETS THIS FIRST :D

Which of the following is equivalent to 2 · (4 · 3)?

A. 2 + (4 + 3)
B. 2 x (6 x 4)
C. (2 x 4) x 3
D. 8

Answers

C It’s cccccccccccccccccccc

Answer:

C. (2 x 4) x 3

Step-by-step explanation:

Solve 2 x (4 x 3) = 24

Solve the other values to find one equivalent.

A. 2 + (4 + 3)  = 9

B. 2 x (6 x 4)  = 48

C. (2 x 4) x 3  = 24

D. 8 = 8

This leaves C as the only equivalent option.

If the function 5x + y = 1 has the domain {-2, 1, 6}, then what is the corresponding range?
A.
{-9, 6, 31}
B.
{9, -6, -31}
C.
{-11, 4, 29}
D.
{11, -4, -29}

Answers

Answer:

C. ????

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Find the shaded area.

Answers

Answer: ≈ 21.46 m²

Step-by-step explanation:

Area of square = 10 x 10 = 100 m²

Area of circle = π(5²) = 25π m²

Area of total = 100 - 25π = 21.46018366

≈ 21.46 m²

The equation d = 3t represents the relationship between the distance in inches that a snail is from a certain rock and the time in minutes

Answers

Answer:

so would it be 3x 3 times pepepeppopo checkk

Put these fractions in order starting with the smallest:
A-
7/10 3/5 9/20 23/30 4/5

B-
3/10 4/15 9/10 11/15 17/20

C-
9/4 4/3 5/3 7/4 7/5.

D-
17/7 23/7 24/5 17/5 11/35

Thanks<3

Answers

Answer:

A- 9/20 3/5 7/10 23/30 4/5

B- 4/15 3/10 11/15 17/20 9/10

C- 4/3 7/5 5/3 7/4 9/4

D- 11/35 17/7 23/7 17/5 24/5

10. Write an expression in simplified form to
represent the area of the trapezoid.

Answers

Answer:

48[tex]x^{7}[/tex]y

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases , then

A = [tex]\frac{1}{2}[/tex] × 4[tex]x^{5}[/tex] × (9x²y + 15x²y )

   = 2[tex]x^{5}[/tex] × 24x²y

   = 48[tex]x^{7}[/tex]y

The simplified expression for the area of the trapezium is 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex].

What is trapezium?

A trapezium is a quadrilateral with four sides where two sides are parallel to each other.

We have,

Trapezium.

Height = 4[tex]x^5[/tex]

Parallel sides are 15x²y and 9x²y.

The area of the trapezium.

= 1/2 x h x ( sum of the parallel sides )

Now,

Area of the trapezium.

= 1/2 x 4[tex]x^5[/tex] x (15x²y + 9x²y)

= 2[tex]x^5[/tex] x (15x²y + 9x²y)

= 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex]

Thus,

The area of the trapezium is 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex].

Learn more about trapezium here:

https://brainly.com/question/22607187

#SPJ5

PLEASE HELP ME!

Solve: system by elimination form

1.
2x + y = 25
3y = 2x - 13
----------------------------------------------------

Answers

2x+y=25
-2. -2
1y=23
1y=1y
Y=23
Here is the answer this is the full answer Im just typing cause the app want me to do

Use foil method to find (w+5)(w^2+3w)

Answers

First
Outer
Inner
Last


(w + 5)(w^2 + 3w)

F (w)(w^2) = w^3 add the exponents

O (w)(3w) = 3w^2

I (5)(w^2) = 5w^2

L (5)(3w) = 15w


New expression: w^3 + 5w^2 + 3w^2 + 15w

Combine like terms.


Final answer: w^3 + 8w^2 + 15w

write an equation of the line that passes through the points (0,3) and (2,11) y=?​

Answers

Answer:

y=4x+3

Step-by-step explanation:

find the slope using y2-y1/x2-x1

11-3/2-0

simplify

8/2

simplify

4

find b by using the equation y=mx+b

since we know 4 is the slope, plug it in for m

plug an ordered pair into y=4x+b

3=4(0)+b

3=b

plug b in y=4x+b

y=4x+3

Louis makes a model of a plane.

The wingspan of the model is 50 centimetres.
The wingspan of the real plane is 80 metres.

Work out the scale of the model.
Give your answer in the form 1:n

Answers

Answer:

1 : 1.6

For every centimeter on the model, it is 11.6 centimeters on the real plane

Step-by-step explanation:

The required value of the scale of the model in the form of 1:160.

Given that,

The wingspan of the model is 50 centimeter,

The wingspan of the real plane is 80 meter.

We have to determine,

The scale of the model and give your answer in the form 1 : n.

According to the question,

The wingspan of the model =  50 centimeter [tex]= \frac{50}{100} = 0.5m[/tex]

The wingspan of the real plane is 80 meter.

The ratio of the scale = 1:n

Therefore,

The equation of proportion is,

[tex]\frac{wingspan \ of \ the \ model}{wingspan\ of \ the \ palne} = \frac{1}{n}[/tex]

Putting all the values in the equation,

[tex]\frac{0.5}{80} = \frac{1}{n} \\\\n = \frac{1 \times 80}{0.5} \\\\n = 160[/tex]

The value of n = 160.

Hence, The required value of the scale of the model in the form of 1:160.

For the more information about Scale model click the link given below.

https://brainly.com/question/9448074

Pls what’s the answer

Answers

Answer:

50°

Step-by-step explanation:

(360° - 130°×2)/2

(360° - 130°×2)/2

(360° - 130°×2)/2

Find the sum using fraction bars or a paper and pencil. Write your answer in simplest form. 5/6 + 3/9

₁ 1/6
21/18
8/15
₁ 4/9

The tiny numbers are the whole numbers
Help me asap please
⇔ω⇔
ФωФ

Answers

Answer:

8/15 bc im beautiful

Step-by-step explanation:

Answer:

imma need my points back

Step-by-step explanation:

6 of 12
© Dale is following this recipe to make shortbread fingers.
Dale uses 150 g of butter.
How many shortbread fingers does he make?
Recipe: Makes 20 fingers
125 g butter
55 g sugar
180 g flour

Answers

Sorry I have the same one and I am waiting to someone solve yours

Write an inequality relating NM and NL-
NM < NL
NM<_ NL
NM > NL
NM>_ NL

Answers

Answer:

NM > LN

Step-by-step explanation:

Here, we want to write an inequality

we should beat it in mind that, the greater the angle that a side of a triangle faces, the greater its length will be relatively

as we can see, the side NM faces the greater angle of 83, relative to the side LN that faces the angle of 56;

So we can conclude that;

NM > LN

Answer:

NM > LN

Step-by-step explanation:

Here, we want to write an inequality

we should beat it in mind that, the greater the angle that a side of a triangle faces, the greater its length will be relatively

as we can see, the side NM faces the greater angle of 83, relative to the side LN that faces the angle of 56;

So we can conclude that;

NM > LN

Which graph represents the function f(x) = 4x

Answers

Answer:

[tex]\boxed{\textsf{ The required graph of y = 4x will be a straight line passing through the origin . }}[/tex]

Step-by-step explanation:

Here we need to plot the graph for the function given to us . The function is ,

[tex]\sf \implies f(x)= 4x [/tex]

In order to plot a graph let us assume that ,

[tex]\sf\implies y = f(x) [/tex]

Hence we now get , that ,

[tex]\sf\implies y = 4x [/tex]

Now let's find out some values of x and y taking which we will plot the graph .

• So , firstly let , x = 0 then y will be equal to 4*0 = 0 . Hence we got one coordinates as (0,0) .

• Secondly let x = 1 , then y will be equal to 4*1 = 4 . Hence we get the third coordinate as (4,0) .

• Thirdly let us take that x = 0.5 then y will be equal to 4*0.5 = 2 . Hence we got the third coordinate as ( 0.5 , 2 )

• Fourthly let x = -0.5 then y will be equal to 4*-0.5 = -2 . Hence the fourth coordinate will be (-0.5 , -2)

Now when we plot it's graph taking suitable scale then it will look something like that as shown in attachment .

For the graph of y = 4x kindly refer to the attachment :) .

Hence the graph of y = 4x will be a straight line passing through the origin.
Answer: X Y
0 0
1 4
Here is the graph

PLZ HELP ME......WILL GIVE BRAINLIEST. THANKYOU!!!!. there are two pictures.

Answers

Step-by-step explanation:

The perimeter of the rectangle is 2(x+y)

area of the rectangle is xy

Find the curved surface area of the spheres whose radius r = 3.5cm

Answers

Answer:

        154 cm²    

Step-by-step explanation:

[tex]A=4\pi r^2\\\\r=3.5\,cm\\\\ A=4\pi(3.5)^2=49\pi=153.93804...\approx154\ cm^2[/tex]

help right now plz lots o points BRAINLIEST

Answers

Answer:

x>-25

Step-by-step explanation:

hope this helps!

Answer:

[tex]x < 25[/tex]

Step-by-step explanation:

[tex]-\frac{3}{10} x -7 +7 < \frac{1}{2} + 7[/tex]

[tex]-\frac{3}{10} x < \frac{15}{2}[/tex]

[tex]-\frac{3}{10} x (\frac{10}{3} ) < \frac{15}{2} (\frac{10}{3} )[/tex]

[tex]x < \frac{150}{6}[/tex]

[tex]x < 25[/tex]

Hope it helps!

Which of the following expressions has a value that is greater than -1? Select all that apply.
A) -6 + 6
B) -8 - (-11)
C) 9 + (-7)
D) -3 – 5
E) -8 + (-2)

Answers

Answer:

A. -6+6=0 0>-1

C. 9+(-7)=2 2>-1

3/4 (12x+8)=-13- (2x+3)

Answers

Answer: = − 2

Step-by-step explanation:

Remove parentheses.

3/4 (12x+8)=−13−2x−3

Simplify 3/4(12x+8) to 3(12x+8)/4.
3(12x+8)/4=-13-2x-3

Factor out the common term 4.
3x4(3x+2)/4=-13-2x-3

Simplify 3×4(3x+2) to 12(3x+2).
12(3x+2)/4=-13-2x-3

Simplify 12(3x+2)/4 to 3(3x+2)
3(3x+2)=−13−2x−3

Simplify −13−2x−3 to −2x−16
3(3x+2)=−2x−16

Expand
9x+6=−2x−16

Add 2x to both sides.
9x+6+2x=−16

Simplify 9x+6+2x to 11x+6.
11x+6=−16

Subtract 6 from both sides.
11x=−16−6

Simplify −16−6 to −22
11x=−22

Divide both sides by 11.
x=− 22/11

Simplify 22/11 to 2.
x=−2

I want to know if anyone can help with a math textbook. It is page 302, evens only. Skip word problems. Show work if you can, if you can't, then it's alright.

Answers

6a+95m+48c+12...9a11x-4m+55x+311p+84a+13-3a-6b-9x-4y30+6x5a+6-18+6r-8x+10

Step-by-step explanation:

Hopefully I'm right,but what you do is add the ones with variables together so

Question 15

3a + 2 + 3a + 7

so 3a+3a= 6a and 7+2=9

so you have to add the ones that are similar but never add

3a+7 because they are not the same

37. 5x-2y

38. -3a+2b

Add
f(x) = 4x2 + 5x-1
g(x) = 2x2 + 5x + 3

Answers

Answer: f(x) = 3
g = 19/x

Please Mark me brainlist
The answer is:

1. 7/f-5

2. 7/g-5

I hope this works out!

Find the length of side a.

Answers

the length of side a is c:8
Answer: is 8
Explanation: it’s always 8

HI. I really Need help. I will Mark Brainliest!

Answers

Answer:

the first 1 and the last 1 i think

Step-by-step explanation:

Answer:

I think is the first one 1/1÷ m/6  and the last 1/6 m

and if I'm correct the second one too. (m/6) (1)

Explanation:

Hope it helps!~

Good luck on your assignment!!

please help me please will give brainliest ​

Answers

Answer:

12) You should "Never drop trash on the ground"

13) I believe "Everyone should be aware about littering"

14) I believed "that everyone should know littering is bad "

15) Do you think "Littering is bad?"

16) I can't stand "when people do not care about littering " 

17) It is important "to be aware about littering and the effect it has on the world"

Step-by-step explanation:

The length of a rectangle is equal 3x - 2. The width of the rectangle is equal to
x2 - 4x + 8. Which expression is equal to the perimeter of the rectangle?
pls answer someone

Answers

Answer:

14x-4

Step-by-step explanation:

2(3x-2)+2(2x-4x+8)

6x-4+4x-8x+16x

14x-4

Graph a line with a y-intercept of 3 and containing the point (2, 5).

To graph a line, plot two points on the line.

Answers

Answer:

Step-by-step explanation:

Can someone please help me find out which triangles are congruent and why please

Answers

Answer:

D and F

Step-by-step explanation:

They have the same dimensions

find the two smallest consecutive even intiger whose sum is at least 51 .​

Answers

Answer:

26 + 28 = 54

Step-by-step explanation:

These are the smallest two even consecutive numbers that sum up to atleast 51

Do you think that every subtraction problem can be rewritten as an addition problem that gives the same result? Write a convincing argument, using examples. (Think about how they are related.)

Answers

Answer:

If you have the answer to the proble then yes

Step-by-step explanation:

for exampe 9+8=17 can be rewritten as 17-9=8

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