Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 4ST
Related questions
Question
Find the domain, asymptotes, x and y-intercepts of the following
rational function:
G(x) = x^2−x−12/x + 1
Expert Solution
Given,
The domain is the set of all values of x for which output is well defined.
Here, in the given function to get well defined output value, the denominator must be non-zero.
That is,
Hence the domain is the set of all real numbers except -1. That is,
Asymptotes:
To find vertical asymptote, set the denominator to zero and solve it. That is,
And since the degree of numerator(2) is greater than the degree of denominator(1), therefore there is no horizontal asymptote to the given curve.
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