Question

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

Answer 1

Answer:

Any x value that makes the denominator equal to 0

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 $\frac{x^3-2}{x+3}$. 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.