Question

What is the inverse of f(x)=3+2lnx in radical form

Answer 1

`f(x)=3+2\ln x,\ x > 0\\\\y=3+2\ln x\\\\\text{replace x with y and y with x}\\\\3+2\ln y=x\ \ \ \ |-3\\\\2\ln y=x-3\ \ \ \ |:2\\\\\ln y=(y-3)/(2)\to e^(\ln y)=e^{(y-3)/(2)}\\\\y=e^{(y-3)/(2)}\\\\Answer:\ f^(-1)(x)=e^{(y-3)/(2)}`