Question

What is the inverse of f(x) 3^sqrt x-4

Answer 1

well, you need the equationL: y=3+√x−8. than order to find the inverse function, we have to switch the variables x and y and then solve for y..

Answer 2

as you may already know, to get the inverse of any expression, we start off by doing a quick switcharoo on the variables, and then solve for "y".

$\bf \stackrel{f(x)}{y}=\sqrt[3]{x-4}\qquad \stackrel{inverse}{\underline{x}=\sqrt[3]{\underline{y}-4}}\implies x^3=y-4\implies x^3+4=\stackrel{f^{-1}(x)}{y}$