If $g(f(x))=|\sin x|$ and $f(g(x))=(\sin \sqrt{x})^2$, then

$f$ and $g$ cannot be determined

JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

g(f(x))=|\sin x|

and

f(g(x))=(\sin \sqrt{x})^2

, then

View answer and explanation

Correct option: A

f(x)=\sin ^2 x, g(x)=\sqrt{x}

Option A (7) is correct because by finding the center and radius of the circle using the given tangent and normal equations, the value of

\alpha - \beta + r

is 7.

Practice All Chapter MCQs →

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