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If f is a function defined as `f ( x) = x^(2)-x+5, f: ((1)/(2) , oo) rarr ((19)/(4) , oo)`, and g(x) is its inverse function, then g'(7) is equal to

A

`- (1)/(13)`

B

`(1)/(13)`

C

`(1)/(3)`

D

`-(1)/( 3)`

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The correct Answer is:
C
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