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Q.

If f(x)=logx,g(x)=x3, then f(g(a))+f(g(b))=

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a

f(g(a))+f(g(ab))

b

g(f(ab))

c

f(g(ab))

d

g(f(a)+f(b))

answer is B.

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Detailed Solution

f(x)=logx,g(x)=x3

f(g(a))+f(g(b))=f(a3)+f(b3)

=loga3+logb3

=3(loga+logb)=3logab

=log(ab)3=f(g(ab))

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