If $f(x) = \sin^2 x$ and the composite function $g(f(x))= |\sin x|$, then g(x) is equal to
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → $\sqrt{x}$
We have,
$f(x) = \sin^2 x$ and $g(f(x))= |\sin x|$
Now,
$g(f(x))= |\sin x|$
$⇒g(f(x))=\sqrt{\sin^2 x}⇒g(\sin^2 x)=\sqrt{\sin^2 x}$
$∴g(x)=\sqrt{x}$