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JEE ADVANCE 2011
paper 2
Question
Let $f(x)=x^2$ and $g(x)=\sin x$ for all $x \in \mathbb{R}$. Then the set of all $x$ satisfying ( $f \circ g \circ g \circ f$ ) ( $\left.x\right)=(g \circ g \circ f)(x)$, where $(\mathrm{fog})(\mathrm{x})=\mathrm{f}(\mathrm{g}(\mathrm{x}))$, is
Select the correct option:
A
$\pm \sqrt{n \pi}, \mathrm{n} \in\{0,1,2, \ldots\}$
B
$\pm \sqrt{n \pi}, n \in\{1,2, \ldots$.
C
$\frac{\pi}{2}+2 \mathrm{n} \pi, \mathrm{n} \in\{\ldots,-2,-1,0,1,2, \ldots\}$
D
$2 \mathrm{n} \pi, \mathrm{n} \in\{\ldots,-2,-1,0,1,2, \ldots\}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
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Mathematics
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