Let f:R-> R be defined as f(x)=(x^2-x+4)...

Let `f:R-> R` be defined as `f(x)=(x^2-x+4)/(x^2+x+4)`. Then the range of the function `f(x)` is

A

`[(3)/(5),(5)/(3)]`

B

`((3)/(5),(5)/(3))`

C

`(-oo,(3)/(5))cup((5)/(3),oo)`

D

`[-(5)/(3),-(3)/(5)]`

Verified by Experts

The correct Answer is:

A

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