Question

What is the inverse function of `(3x - 8)/( x - 3)`?

Answer 1

Let `y=(3x-8)/(x-3)`.In order to find the inverse we need to solve with respect to x.

Explanation:

So we have that

`y=(3x-8)/(x-3)=>y(x-3)=3x-8=>yx-3y=3x-8=>yx-3x=3y+8=>x(y-3)=3y+8=>x=(y-3)/(3y+8)`

Hence the inverse is `y^(-1)=(x-3)/(3x+8)`