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Question

Let f and g are two real functions defined as
f(x)=2x3
g(x)=3+x2. Find gof and fog.

A
fog=1 , gof=x
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B
fog=2x , gof=x
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C
fog=x , gof=x
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D
fog=1 , gof=2x
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Solution

The correct option is A fog=x , gof=x

fog=f(g(x))=f((3+x2))=2((3+x2))3=3+x3=xandgof=g(f(x))g(2x3)=((3+(2x3)2))=x


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