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Question

If g(x)=x2+x1 and (gf)(x)=4x210x+5, then f(54) is equal to

A
32
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B
12
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C
12
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D
32
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Solution

The correct option is B 12
g(x)=x2+x1
(gf)(x)=4x210x+5
g(f(x))=4x210x+5
f2(x)+f(x)1=4x210x+5
Putting x=54 and f(54)=t
t2+t+14=0
t=12 or f(54)=12

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