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A rational function is defined as quotie...

A rational function is defined as quotient of two polynoials of `p(x)` and `q(x)`. The domain of the rational function must be all reals except the roots of the equation `q(x)=0`. The range of rational functions can be found by finding minimum values of the function. In case `p(x)` and `q(x)` have a common factor `x-beta` . Then after cancelling the common factor. The rational functional must assume a value of `x=beta` which should be delete from the range since `beta` is not in the domain of the rational function
The range of rational function `f(x)=(2x^(2)+5x+2)/(2x+1)`

A

`R-{0}`

B

`R-{-2}`

C

`R- {0, -2, 2/3}`

D

`R- {3/2}`

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The correct Answer is:
D
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