Question

find:
f^-1(x)
f(x)=^3√x-9

Answer 1

\[f(x)=\sqrt[3]{x-9}\]?

Answer 2

Yes That is the correct problem

Answer 3

put
\[y=\sqrt[3]{x-9}\] then either solve for \(x\) or switch \(x\) and \(y\) (because that is what the inverse does ) and solve fo \(y\)
you get
\[x=\sqrt[3]{y-9}\] cube to get
\[x^3=y-9\] then add 9 to get
\[x^3+9=y\] and that is your inverse
\[f^{-1}(x)=x^3+9\]

Answer 4

Oh Wow!