Intermediate Algebra for College Students (7th Edition)

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

Chapter 5 - Section 5.7 - Polynomial Equations and Their Applications - Exercise Set - Page 391: 63


$x=-9,5$ are the excluded values of $x$ from the domain.

Work Step by Step

As per given question: $f(x)=\dfrac{3}{x^2+4x-45}$ Need to use factorization to solve the quadratic equation . $\dfrac{3}{x^2+4x-45}=0$ or, $\dfrac{3}{x^2+9x-4x-45}=0$ or, $\dfrac{3}{(x+9)(x-5)}=0$ This implies that $x=-9,5$ the denominator will get zero. Hence, $x=-9,5$ are the excluded values of $x$ from the domain.
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