Question

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

Answer 1

Explanation:

y
`f(x)^(-1) = inverse\\f(x)=y \\y = 1/(x^(3) \\Inverse: y=x ------------> x = 1/y^(3)\\y^(3) - (1)/(x) = 0\\y^(3) = (1)/(x)\\y = \sqrt[3]{(1)/(x)} \\y = \frac{\sqrt[3]{1} }{\sqrt[3]{x}} \\y = \frac{1}{\sqrt[3]{x}}`