Find the domain of the rational function f(x) = x/(x2 - 16) and graph the function.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 3E
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Find the domain of the rational function f(x) = x/(x2 - 16) and graph the function.

Expert Solution
Step 1

The given function is fx=xx2-16.

Obtain the domain of the rational function as follows:

Take the denominator of the function and equate to zero.

x2-16=0x2=16x=±4

Thus, the domain of the function is -,-4-4,44,.

 

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