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Let y=f(x) be a bijective function and y...

Let `y=f(x)` be a bijective function and `y=g(x)` be a function such that `g(x)=f^(-1)(x)`. Let `y=h(x)` be a function defined as
`h(x)=xf(x)+g(x)`. IF `y=f(x)` and `y=g(x)` be differentiable function `f(1)=2,f'(1)=2` and `f(3)=f'(3)=1` then h'(1)equals

A

`3`

B

`2`

C

`5`

D

`9/2`

Text Solution

Verified by Experts

The correct Answer is:
C
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NTA MOCK TESTS-NTA TPC JEE MAIN TEST 113-MATHEMATICS
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