If $f: R → R$ be given by $f(x)=\left(3-x^3\right)^{\frac{1}{3}}$, then $(f o f)(x)$ is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $x$
$(f o f(x)=f(f(x))$
$=f((3-x^3)^{\frac{1}{3}})$
$=(3-((3-x^3)^{\frac{1}{3}})^3)^{\frac{1}{3}}$
$=(x^3)^{\frac{1}{3}}=x$