Question

Question #65fa6

Answer 1

`h^(-1)(x)=(x+5)/3`

Explanation:

You are asked to find the inverse function:

The first thing we do is to write `h(x)=3x-5` as `y=3x-5` and then switch the roles of `x` and `y` and solve for `y`.

So, `y=3x-5->x=3y-5`

Solving for `y` yields,

`xcolor(red)(+5)=3ycancel(-5color(red)(+5))`

`(x+5)/color(red)3=cancel3/cancelcolor(red)3y`

`(x+5)/color(red)3=y->h^(-1)(x)=(x+5)/3`