CUET · MATHS · PYQ PAPER 2023
If \(f: R \rightarrow R\) be given by \(f(x)=\left(3-x^3\right)^{\frac{1}{3}}\), then \((f \circ f)(x)\) is:
- A \(x^3\)
- B \(\frac{1}{x^3}\)
- C x
- D \(3-x^3\)
Answer & Solution
Correct Answer
(C) x
Step-by-step Solution
Detailed explanation
\((f \circ f)(x) = f(f(x))\) \((f \circ f)(x) = f\left(\left(3-x^3\right)^{\frac{1}{3}}\right)\) \((f \circ f)(x) = \left(3 - \left(\left(3-x^3\right)^{\frac{1}{3}}\right)^3\right)^{\frac{1}{3}}\) \((f \circ f)(x) = \left(3 - (3-x^3)\right)^{\frac{1}{3}}\)…
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