Q. 465.0( 1 Vote )

Mark the correct alternative in each of the following:

If f(x) = sin2 x and the composite function g(f(x)) = |sin x|, then g(x) is equal to

A.

B.

C.

D.

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.

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