Chapter 2: Q. (page 68)

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

Short Answer

Expert verified

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 .

Step by step solution

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

Short Answer

Step by step solution

Step 1. Given information

Step 2. DEFINITION

Step 3. The answer is,

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The domain of fgconsists of numbers xfor which g(x)____ 0that are in the domains of both ____ and ____.

Short Answer

Step by step solution

Step 1. Given information

Step 2. DEFINITION

Step 3. The answer is,

One App. One Place for Learning.

Most popular questions from this chapter

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