/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 1 Find all numbers that must be ex... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 1

Find all numbers that must be excluded from the domain of each rational expression. $$\frac{7}{x-3}$$

Short Answer

Expert verified
The number '3' should be excluded from the domain of the rational expression.

Step by step solution

01

Set the denominator equal to zero

Setting the denominator equal to zero: \(x - 3 = 0\)
02

Solve the equation

Solving this equation gives the value of 'x' that makes the denominator zero. We simply add three to both sides of the equation: \(x = 3\).
03

Excluded values from the domain

So, 'x' being equals to 3 will make the denominator of the rational expression to be zero and hence undefined. Therefore, '3' should be excluded from the domain of the given rational expression.

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find the intersection of the sets. $$\\{a, b, c, d\\} \cap \varnothing$$

Find the intersection of the sets. $$\\{r, e, a, l\\} \cap\\{l, e, a, r\\}$$

$$\text { Factor completely.}$$ $$2 x^{2}-7 x y^{2}+3 y^{4}$$

$$\text { factor completely.}$$ $$-x^{2}-4 x+5$$

Explain how to factor the difference of two squares. Provide an example with your explanation.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.