# The domain of the expression 2 x + 1 x − 4 . ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.4, Problem 7E
To determine

## The domain of the expression 2x+1x−4 .

Expert Solution

The domain of the given expression is xR{4}

Where R is real number

### Explanation of Solution

Given information:

The given expression is provided below

2x+1x4

Formula used:

The denominator part of the expression does not be 0 .

Calculation:

Consider the expression as,

2x+1x4

Recall that the denominator should not be equal to 0,

Therefore

x40x4

So the domain part of the expression will not contain x=4 because if it contain then the given expression will does not exist.

The domain of the expression 2x+1x4 is

R{4}

Where R belongs to real number

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!