How do you find the domain of a rational function? do you just set the numerator to zero and solve? Also, how can you tell if the domain is all real numbers or not?
How do you find the domain of a rational function? do you just set the numerator to zero and solve? Also, how can you tell if the domain is all real numbers or not?
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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How do you find the domain of a rational function? do you just set the numerator to zero and solve?
Also, how can you tell if the domain is all real numbers or not?
Expert Solution
Step 1
Domain of a rational function f(x) is the set of all the points of x for which f(x) is defined, that is we have to exclude the points from the set of real numbers at which denominator is equal to 0
Step 2
Let us consider the following rational function
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