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Question

Let f:RR and g:RR be defined by f(x)=x2+2x3,g(x)=3x4 then (gof)(x)=

A
3x2+6x13
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B
3x26x13
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C
3x2+6x+13
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D
3x2+6x13
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Solution

The correct option is A 3x2+6x13
Given that, f(x)=x2+2x3 and g(x)=3x4
(gof)(x)=g(f(x))
=3(x2+2x3)4
(gof)(x)=3x2+6x13
Hence, option A.

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