Use the function below to answer the following questions. f(x) = (x^2 - 9)/(x - 3). (a)...

Question:

Use the function below to answer the following questions.

{eq}\displaystyle f(x) = \frac{x^2 - 9}{x - 3} {/eq}

(a) Determine the domain of the function, {eq}f {/eq}.

(b) Determine the value of {eq}f(3) {/eq}, if it exists.

Rational Functions:

A rational function is a function written in the form

{eq}f(x)=\frac{p(x)}{q(x)} {/eq}

where {eq}p(x) {/eq} and {eq}q(x) {/eq} are both polynomial functions.

Its domain is the set of all real numbers such that {eq}q(x) {/eq} is nonzero.

Answer and Explanation:

a) The domain of a rational function is the set of all real numbers such that the denominator of the function is nonzero.

In this case, the...

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Analyzing the Graph of a Rational Function: Asymptotes, Domain, and Range

from Math 105: Precalculus Algebra

Chapter 4 / Lesson 9
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