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Question

If f(x)=x21,and g(x)=x2, then find a, if gof(a)=6.

A
±3
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B
±2
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C
0.0
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D
±3
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Solution

The correct option is A ±3
gof(a)=g{f(a)}
Given, f(x)=x21,and g(x)=x2
g{f(a)}=g{a21}
=(a21)2=a23
Given, gof(a)=6
a23=6a2=9a=±3

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