Let ((gof)(x) = sin x) and ((fog)(x) = (sin \sqrt x)^2,) The... | Mathematics | SolveeIt

Let $(gof)(x) = sin x$ and $(fog)(x) = (sin \sqrt x)^2,$ Then

$f(x) = sin^2 x, g(x) = x$

$f(x) = sin \sqrt x, g(x) =\sqrt x$

$f(x) = sin^x, g(x) =\sqrt x$

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

Answer

$f(x) = sin^x, g(x) =\sqrt x$

Explanation

The correct answer is Option (C) : $f(x) = sin^x, g(x) =\sqrt x$

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