Question

f: R⁺ —> R, f(x) = cube root of (3-x³). Find fof.

Answer 1

$f(x) = \sqrt[3]{3 - {x}^{3} } \\ fof = f(f(x)) \\ = \sqrt[3]{3 - {( \sqrt[3]{3 - {x}^{3} }) }^{3} } \\ = \sqrt[3]{3 - (3 - {x}^{3} } ) = \sqrt[3]{ {x}^{3} } = x$