Question 675423
Swap x and y. Then solve for y


{{{y = (x-7)^3-6}}}


{{{x = (y-7)^3-6}}}


{{{x+6 = (y-7)^3}}}


{{{root(3,x+6) = y-7}}}


{{{root(3,x+6)+7 = y}}}


{{{y=root(3,x+6)+7}}}


So the inverse function is {{{y=root(3,x+6)+7}}} which can also be written as <img src="http://latex.codecogs.com/gif.latex?\Large f^{-1}(x) = \sqrt[3]{x+6}+7" title="x" />