For the function f(x)=(x-9)^{frac{1}{3}}, find f^{-1}(x).

Question

Accepted Answer

Step:1 ：(f(x) = (x-9)^{frac{1}{3}})Step:2 ：(x = (f^{-1}(x)-9)^{frac{1}{3}})Step:3 ：(x^3 = f^{-1}(x)-9)Step:4 ：(f^{-1}(x) = x^3 + 9)Step:5 ：(boxed{f^{-1}(x) = x^3 + 9})

Answer

Step: 1 ：(f(x) = (x-9)^{frac{1}{3}})Step: 2 ：(x = (f^{-1}(x)-9)^{frac{1}{3}})Step: 3 ：(x^3 = f^{-1}(x)-9)Step: 4 ：(f^{-1}(x) = x^3 + 9)Step: 5 ：(boxed{f^{-1}(x) = x^3 + 9})

For the function $f (x) = (x - 9)^{\frac{1}{3}}$ , find $f^{- 1} (x)$ .

Answer

Popular Problems

For the function f(x)=(x−9)13, find f−1(x).

Answer

Popular Problems

For the function $f (x) = (x - 9)^{\frac{1}{3}}$ , find $f^{- 1} (x)$ .