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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)=(3x+1)/(2x+1) must be |
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Answer» `R-{- 1/2}` |
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