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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