If f: R rightarrow R is given by f(x) = (3 - | vedclass

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(D) Given $f(x) = (3 - x^{3})^{\frac{1}{3}}$.To find $fof(x)$,we compute $f(f(x))$:$fof(x) = f(f(x)) = f((3 - x^{3})^{\frac{1}{3}})$Substitute $f(x)$

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$x$

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(D) Given $f(x) = (3 - x^{3})^{\frac{1}{3}}$.To find $fof(x)$,we compute $f(f(x))$:$fof(x) = f(f(x)) = f((3 - x^{3})^{\frac{1}{3}})$Substitute $f(x)$ into the function definition:$fof(x) = [3 - ((3 - x^{3})^{\frac{1}{3}})^{3}]^{\frac{1}{3}}$Simplify the expression inside the bracket:$fof(x) = [3 - (3 - x^{3})]^{\frac{1}{3}}$$fof(x) = [3 - 3 + x^{3}]^{\frac{1}{3}}$$fof(x) = (x^{3})^{\frac{1}{3}}$Thus,$fof(x) = x$.The correct answer is $D$.

If $f: R \rightarrow R$ is given by $f(x) = (3 - x^{3})^{\frac{1}{3}}$,then $fof(x)$ is ..........

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