# the domain of the expression 2 x x + 1 .

### 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 12E
To determine

## To calculate: the domain of the expression 2xx+1 .

Expert Solution

The domain of the given expression is x[0,){1} .

### Explanation of Solution

Formula used:

The denominator part of the expression does not be 0

And the under root value should be greater than equal to 0 .

Calculation:

Consider the expression as 2xx+1 ,

Recall that the denominator should not be equal to 0

Therefore

x+10

x1

Recall that the under root value is always greater than equal to 0

Therefore

2x0x0

so the values of

x[0,)

Therefore the domain of the expression will be

x[0,){1}

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