Question

3What is the inverse of the function h(x) = - 2 + 12?h-'(x) =(2

Answer 1

We have the next function

`h(x)=(3)/(4)x+12`

First we need to make h(x)=y

`y=(3)/(4)x+12`

Then we make x=y and y=x

`x=(3)/(4)y+12`

Then we isolate the y

`x-12=(3)/(4)y`
`4(x-12)=3y`
`y=(4(x-12))/(3)`
`y=(4x-48)/(3)`

Therefore the inverse function is

`h^(-1)(x)=(4x-48)/(3)`