Question

For the given functions f and g find the indicated composition. f(x) = -2x + 2, g(x) = 3x + 2 A. - 6x - 4.B. - 6x + 8.C. 6x + 8.D. - 6x + 6.Find the Inverse of the one-to-one function. f(x) = 4x + 8

Answer 1

i'm not sure if it is right

Explanation:

1, B

g(f(x)) --> g(-2x+2)=3x+2

g(-2x+2)=3.(-2x+2)+2=-6x+6+2=-6x+8

2,

#1: Write as a linear equation

y=4x+8

#2: Swap x and y variables

x=4y+8

#3: Solve for y

4y+8=x

4y=x-8

y=
`(x-8)/(4)`

#4: Write in inverse notation:

`f^(-1)`(x)=
`(x-8)/(4)`= (x/4) - 2