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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

`[2/3,3/2]`

B

`(2/3,3/2)`

C

`(-infty,2/3) cup (3/2,infty)`

D

`[-3/2,-2/3]`

Text Solution

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The correct Answer is:
C
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