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

Answer:

i'm not sure if it is right

Step-by-step 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=$\frac{x-8}{4}$

#4: Write in inverse notation:

$f^{-1}$(x)=$\frac{x-8}{4}$= (x/4) - 2