# Find the domain of the function f ( x ) = 1 3 x − 6

### 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 48E
To determine

## Find the domain of the function f(x)=13x−6

Expert Solution

The domain of the function f(x)=13x6 is (,2)(2,)

### Explanation of Solution

Given information: Consider the function f(x)=13x6

Calculation:

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

Since 3x60

3x6x2

Hence the given function is defined for all the values of x in the set of real numbers except of the value x=2

Thus, the domain of the function f(x)=13x6 is (,2)(2,)

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