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Question

If functions f,g:RR are defined as f(x)=x2+1,g(x)=2x3, then find f o g(x),g o f(x) and g o g(3)

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Solution

Given f(x)=x2+1 and g(x)=2x3
fog(x)=f(g(x))=f(2x3)=(2x3)2+1=4x212x+9+1=4x212x+10
gof(x)=g(f(x))=g(x2+1)=2(x2+1)3=2x21

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