Chapter 2: Q. 51 (page 69)

In Problems 47– 62, find the domain of each function.
$g (x) = \frac{x}{x^{2} - 16}$

Short Answer

Expert verified

The domain of the given function is ${x | x \neq - 2, x \neq 2}$

Step by step solution

Step 1. Given Information

In the given problems we have to find the domain of given function.

$g (x) = \frac{x}{x^{2} - 16}$

Step 2. The function g tells us to divide x by x2-16.

Since division by $0$ is not defined, the denominator $x^{2} - 16$ can never be $0$ , so $x$ can never equal $- 4$ or $4$ . The domain of the function g is ${x | x \neq - 2, x \neq 2}$

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In Problems 47– 62, find the domain of each function.
$g (x) = \frac{x}{x^{2} - 16}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. The function g tells us to divide x by x2-16.

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In Problems 47– 62, find the domain of each function.g(x)=xx2-16

Short Answer

Step by step solution

Step 1. Given Information

Step 2. The function g tells us to divide x by x2-16.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Calculus

Logic and Functions

Decision Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

In Problems 47– 62, find the domain of each function.
$g (x) = \frac{x}{x^{2} - 16}$