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Question

If g(x)=1+x and f(g(x)) =3+2x+x, then the function f(x) in ax2+b form is

A
x2
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B
2+x2
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C
3+x2
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D
2x2
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Solution

The correct option is B 2+x2
g(x)=1+x and f(g(x))=3+2x+x
f(1+x)=3+2x+xf(1+x)=2+1+2x+xf(1+x)=2+(1+x)2f(x)=2+x2

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