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Questions  

If f(x)=sin2x and the composite functions g(f(x))=|sinx| then g(x) is equal to

a
x-1
b
x
c
x+1
d
-x

detailed solution

Correct option is B

We have,f(x)=sin2⁡x and g(f(x))=|sin⁡x|Now, g(f(x))=|sin⁡x|⇒g(f(x))=sin2⁡x⇒g(sin2⁡x)=sin2⁡x∴g(x)=x

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