Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

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

Options:

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

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

$f (x) = \sqrt{x}, g(x) = \sin ^2x$

$f (x) = \sqrt{\sin x}, g(x) = x^2$

Correct Answer:

$f (x) = \sqrt{x}, g(x) = \sin ^2x$

Explanation:

$fog = |\sin x|=\sqrt{\sin^2 x}$ and $gof=(\sin\sqrt{x})^2$

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