Question

How do you find the inverse of `f(x) =ln(4x-1)`?

Answer 1

`f^(-1)(x)=(e^x+1)/4`

Explanation:

As `f(x)=y=ln(4x-1)`

`4x-1=e^y`

or `x=(e^y+1)/4`

Hence `f^(-1)(x)=(e^x+1)/4`