# the domain of a function.

### 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 2.6, Problem 12E
To determine

## To determine the domain of a function.

Expert Solution

The domain of the function g(x)=x+11x is {x|x1 and x0} .

### Explanation of Solution

Given information:

The given function is g(x)=x+11x

Calculation :

In the function g(x)=x+11x , we cannot take the square root of a negative number. So, we must have x+10=x1 and a rational expression is not defined when the denominator is 0 so x0 .

Hence, the domain of the function g(x)=x+11x is {x|x1 and x0} .

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