If f: R → R be given by, then fof(x) is

Question:

If $f: \mathbf{R} \rightarrow \mathbf{R}$ be given by $f(x)=\left(3-x^{3}\right)^{\frac{1}{3}}$, then $f \circ f(x)$ is

(A) $\frac{1}{x^{3}}$ (B) $x^{3}$ (C) $x$ (D) $\left(3-x^{3}\right)$

Solution:

$f \mathbf{R} \rightarrow \mathbf{R}$ is given as $f(x)=\left(3-x^{3}\right)^{\frac{1}{3}}$

$f(x)=\left(3-x^{3}\right)^{\frac{1}{3}}$

The correct answer is C.

 

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