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Let f and g be two differentiable functi...

Let f and g be two differentiable functins such that:
`f (x)=g '(1) sin x+ (g'' (2) -1) x`
`g (x) = x^(2) -f'((pi)/(2)) x+ f'(-(pi)/(2))`
If `phi (x) =f ^(-1) (x)` then `phi'((pi)/(2) +1)` equals to :

A

`(pi)/(2) +1`

B

`pi/2`

C

1

D

0

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The correct Answer is:
C
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