Question

Match the one-to-one functions with their inverse functions.

Inverse Function
f^-1(x)=4(20-x)<--->
f^-1(x)=x-7<---->
f^-1(x)=8(x+7)<---->
f^-1(x)=-3(x-1)<---->

Function
f(x)=x/8-7
f(x)=x+7
f(x)=1-x/3
f(x)=20-0.25x

Answer 1

This is what I got when I put it in the calculator.

Answer 2

The inverse of a function is obtained by making x the subject of the formular of the function.

Given the function

`f(x)= (x)/(8) -7`
the inverse of the function is obtained as follows:

`y= (x)/(8) -7 \\ \\ y+7=(x)/(8) \\ \\ x=8(y+7) \\ \\ \bold{f^(-1)(x)=8(x+7)}`

Given the function
[tex[f(x)=x+7[/tex]
the inverse of the function is obtained as follows:

`y=x+7 \\ \\ x=y-7 \\ \\ \bold{f^(-1)(x)=x-7}`

Given the function

`f(x)=1- (x)/(3)`
the inverse of the function is obtained as follows:

`y=1- (x)/(3) \\ \\ -(x)/(3) =y-1 \\ \\ x=-3(y-1) \\ \\ \bold{f^(-1)(x)=-3(x-1)}`

Given the function

`f(x)=20-0.25x`
the inverse of the function is obtained as follows:

`y=20-0.25x=20- (1)/(4) x \\ \\ (1)/(4) x=20-y \\ \\ x=4(20-y) \\ \\ \bold{f^(-1)(x)=4(20-x)}`