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Finding the domain of a rational function.
Domain rational examples. Find the domain and range of the rational expression 1 x 2. To find these x values to be excluded from the domain of a rational function equate the denominator to zero and solve for x. Y 1 x 2.
The domain of a rational function consists of all the real numbers x except those for which the denominator is 0. Domain is all real values of x for which y is defined.
Example 3 step 1. Domain of a rational function. Follow the same procedure as in previous example.
Find the domain of the function f x 2x 2 12x 5. A rational function is simply a fraction and in a fraction the denominator cannot equal zero because it would be undefined. The domain of a linear function is all real numbers therefore domain.
The domain in interval form is given by. Infty 0 cup 0 infty example 1 find the domain of the function f x dfrac 1 x 2. Domain of a rational function.
A function with a radical. Examples of how to find the domain and range of radical and rational functions example 1. Find the domain of f x 5x 3.
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