Question

How do you find the inverse of `f(x)=e^(2x-1)`?

Answer 1

Refer to explanation

Explanation:

We have that

#f(x)=e^(2x-1)=>lnf(x)=lne^(2x-1)=>lny=(2x-1)=> x=1/2(lny+1)#

hence `f^(-1)(x)=1/2*(lnx+1)`