Mark the correct alternative in each of the following: If f(x) = sin 2 x and the composite function g(f(x)) = |sin x|, then g(x) is equal to

Question

Philoid · Accepted Answer

Given that f(x) = sin² x and the composite function g(f(x)) = |sin x|.

g(f(x)) = g(sin² x)

a.

Hence, given option is incorrect.

b. If g(x) =√x

⇒ g(f(x)) = |sin x|

Hence, given option is correct.

c.

Hence, given option is incorrect.

d. If g(x) =-√x

⇒ g(f(x)) = - sin x

Hence, given option is incorrect.