Chapter 2: Q. 14 (page 68)

True or False The domain of the function $f (x) = \frac{x^{2} - 4}{x}$ is ${x | x \neq \pm 2}$ .

Short Answer

Expert verified

The given statement is false.

Step by step solution

Step 1. Given information

In the given question we have to explain the given statement is true or false.

The statement is "The domain of the function $f (x) = \frac{x^{2} - 4}{x}$ is ${x | x \neq \pm 2}$ ."

Step 2. The given function is f(x)=x2-4x.Finding the domain of function.

The given function tells us to divide $x^{2} - 4$ by $x$ . Since division by $0$ is not defined, the denominator $x$ can never be $0$ , so $x$ can never equal $0$ .

Step 3. The domain of the given function is {x|x≠0}

Hence, the given statement is false.

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True or False The domain of the function $f (x) = \frac{x^{2} - 4}{x}$ is ${x | x \neq \pm 2}$ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. The given function is f(x)=x2-4x.Finding the domain of function.

Step 3. The domain of the given function is {x|x≠0}

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True or False The domain of the function f(x)=x2-4xis{x|x≠±2}.

Short Answer

Step by step solution

Step 1. Given information

Step 2. The given function is f(x)=x2-4x.Finding the domain of function.

Step 3. The domain of the given function is {x|x≠0}

One App. One Place for Learning.

Most popular questions from this chapter

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True or False The domain of the function $f (x) = \frac{x^{2} - 4}{x}$ is ${x | x \neq \pm 2}$ .