Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 6 - Section 6.1 - Rational Expressions and Functions; Multiplying and Dividing - Exercise Set - Page 417: 137

Answer

It doesn't make sense

Work Step by Step

We are given the rational function: $$f(x)=\dfrac{x-3}{x-7}.$$ The function is defined for all real $x$ except the zero(s) of the denominator. Determine the zero(s) of the denominator: $$x-7=0\Rightarrow x=7.$$ So we must exclude the value $7$ from the domain. The given statement does not make sense.
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