Chapter 11: Q 375 (page 1069)

In the following exercises, find the domain of the function and write the domain in interval notation.
$g (x) = \sqrt[3]{8 x - 1}$

Short Answer

Expert verified

The domain of the given function is all real values. Also, the interval notation of the domain is $(- \infty, \infty)$ .

Step by step solution

Step 1. Given Information

We have given the following function :-

$g (x) = \sqrt[3]{8 x - 1}$ .

We have to find the domain of this function.

Step 2. To find Domain of given function.

The given function is:-

$g (x) = \sqrt[3]{8 x - 1}$ .

We know that in a radical function if the radical is odd, then all real values lie in the domain of the function.

In the above-given function, the radical is 3. That is odd.

So the domain of the given function is all real values.

In interval form, the domain of the given function is:-

$(- \infty, \infty)$ .

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

In the following exercises, find the domain of the function and write the domain in interval notation.
$g (x) = \sqrt[3]{8 x - 1}$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. To find Domain of given function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Mechanics Maths

Theoretical and Mathematical Physics

Calculus

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, find the domain of the function and write the domain in interval notation.g(x)=8x-13

Short Answer

Step by step solution

Step 1. Given Information

Step 2. To find Domain of given function.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Pure Maths

Mechanics Maths

Theoretical and Mathematical Physics

Calculus

Probability and Statistics

Study anywhere. Anytime. Across all devices.

In the following exercises, find the domain of the function and write the domain in interval notation.
$g (x) = \sqrt[3]{8 x - 1}$