Question

What is the inverse of `f(x)=2-3log_4(x+1)` ?

Answer 1

`f^(-1)(x)=4^((2-x)/3)-1`

Explanation:

We have
`3log_4(x+1)=2-y`
`log_4(x+1)=(2-y)/3`
so `4^ ((2-y)/3)=x+1`
so

`x=4^((2-y)/3)-1`