CUET Preparation Today
If $f : R → R$ be given by $f(x)=\left(3-x^3\right)^{\frac{1}{3}}$, then $fof(x)$ is: |
$x^3$ $x^{\frac{1}{3}}$ $x$ $3-x^3$ |
$x$ |
The correct answer is Option (3) → $x$ $f(x)=\left(3-x^3\right)^{\frac{1}{3}}$ $fof(x)=f(f(x))=\left(3-\left(\left(3-x^3\right)^{\frac{1}{3}}\right)^3\right)^{\frac{1}{3}}$ $=\left((3-3+x^3)\right)^{\frac{1}{3}}=(x^3)^{\frac{1}{3}}=x$ |
