Question

Find the inverse of f(x)=(x-1)^3

Answer 1

$f (x)=(x-1)^3 \\ y =(x-1)^3 \\\\\sf Replace~ x ~with~ y ~and~ vice~ versa \\ x = (y-1)^3 \\ \sqrt[3]{x} =y-1 \\ \\ Solve~for~y\\\\ \boxed {y= \sqrt[3]{x} +1}$