Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 6 - Section 6.3 - Simplifying Complex Fractions - Exercise Set - Page 362: 74

Answer

$$ - \frac{5}{a(a+h)}$$

Work Step by Step

For part a, replace wherever you see an x with a+h. This gives: $$ \frac{5}{a+h}$$ For part b, replace wherever you see an x with a. This gives: $$ \frac{5}{a}$$ Now, we are asked to plug the answers from a and b into the equation: $$ \frac {f(a+h)-f(a)}{h}$$ We substitute to find: $$\frac{\frac{5}{a+h} - \frac{5}{a}}{h}$$ Lastly, we simplify using the techniques learned in this chapter. This gives: $$ - \frac{5}{a(a+h)}$$
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