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 the rational function `f(x)=(2x+1)/(2x^(2)+5x+2)` must be

Options

A. `R-{- 1/2}`
B. `R-{- 1/3}`
C. `R- { - 3/2}`
D. R

Answer

C