Q. 324.7( 3 Votes )

Mark the correct

Answer :

Given that g(f(x)) = |sin x| and


a. For f(x) = sin2x, g(x) = √x


f(g(x))=f(√x)= (sin√x)2


g(f(x))=g(sin2x)= √ sin2x= |sinx|


Correct


b. For f(x) = sin x, g(x) = |x|


f(g(x)) = f(|x|) = sin |x|


g(f(x) = g(sin x) = |sin x|


Incorrect


c. f(x) = x2, g(x) = sin √x


f(g(x)) = f(sin √x) = (sin √x)2


g(f(x)) = g(x2) = sin |x|


Incorrect

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