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A function defined by f(x)=(x^(2)-ax+1)/...

A function defined by `f(x)=(x^(2)-ax+1)/(x^(2)+ax+1),0ltalt2`
Let `g(x)=int_(0)^(e^(x))(f'(t))/(1+t^(2))dt` Which of the following is true ?

A

`gcancelc(x)` is positive on `(-oo,0)` and negative on `(0,oo)`

B

`gcancelc(x)` is negative on `(-oo,0)` and positive on `(0,oo)`

C

`gcancelc(x)` is negative on `(oo,0)` and positive on `(0,oo)`

D

`gcancelc(x)` does not change sign on `(-oo,oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
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