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Question

If f:RR,f(x)=x3+3, and g:RR,g(x)=2x+1, then f1og1(23) equals

A
2
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B
3
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C
(14)1/3
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D
(15)1/3
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Solution

The correct option is B 2
We have f(x)=x3+3 & g(x)=2x+1

f1(x)=(x3)1/3 & g1(x)=(x1)2

f1og1(x)=f1[g1(x)]

f1og1(23)=f1[g1(23)]=f1(11)

=(113)1/3=(8)1/3=2

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