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Precalculus Enhanced with Graphing Utilities

Found in: Page 68

Book edition 6th

Author(s) Sullivan

Pages 1200 pages

ISBN 9780321795465

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Short Answer

The domain of $\frac{f}{g}$ consists of numbers $x$ for which $g (x)$ $0$ that are in the domains of both and .

The domain of $\frac{f}{g}$ consists of numbers $x$ for which localid="1645800837802" $g (x) \neq 0$ that are in the domains of both $f$ and .

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information

The domain of $\frac{f}{g}$ consists of numbers $x$ for which $g (x)$ ____ $0$ that are in the domains of both ____ and ____.

Step 2. DEFINITION

The quotient $\frac{f}{g}$ is the function defined by

$(\frac{f}{g}) (x) = \frac{f (x)}{g (x)} g (x) \neq 0$

Step 3. The answer is,

The domain of $\frac{f}{g}$ consists of numbers $x$ for which $g \neq 0$ that are in the domains of both $f$ and $g$ .

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