# Find the domain of the function f ( x ) = x + 2 x 2 − 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 2.1, Problem 49E
To determine

## Find the domain of the function  f(x)=x+2x2−1

Expert Solution

The domain of the function f(x)=x+2x21 is (,1)(1,1)(1,)

### Explanation of Solution

Given information: Consider the function f(x)=x+2x21

Calculation:

A rational expression is not defined when the denominator is 0.

Since x210

x21x±1

Hence the given function is defined for all the values of x in the set of real numbers except of the value x=1,x=1.

Thus, the domain of the function f(x)=x+2x21 is (,1)(1,1)(1,)

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