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Question

If g is inverse of f and f(x)=x2+3x3(x>0) then g(1) equals


A
12g(1)+3
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B
1
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C
15
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D
f(1)(f(1))2
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Solution

The correct options are
B 12g(1)+3
C 15

Given, f(x)=x2+3x3

f1(x)=g(x)

x=f(g(x))

Differentiating both sides,

1=f(g(x))g(x)

g(x)=1f(g(x))

Now f(x)=2x+3

And f(1)=1g(1)=1f(g(1))=1f(1)=15


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