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What x values are not included in the domain of the quotient of two functions

1 Answer

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Answer:

Any x value that makes the denominator equal to 0

Step-by-step explanation:

Rational Functions

The quotient of two functions can be rewritten as a rational function. All rational functions have discontinuities in the domain where the denominator equals 0. For this to make sense, remember that anything divided by 0 is undefined.

Examples

To show this idea, I will use the example
(x^3-2)/(x+3). For this rational function or quotient of two functions, the x value -3 is not included in the domain. This is due to the fact that when x=-3, the denominator is equal to 0. Thus, the function is undefined at this value.

User Stephen Briney
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