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

### 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 47E
To determine

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

Expert Solution

The domain of the function f(x)=1x3 is (,3)(3,)

### Explanation of Solution

Given information:Consider the function f(x)=1x3

Calculation:

Recall the domain of a function is the set of input or argument values for which the function is real and defined.

Assume a function from real values to real values as shown in the figure below:

From the above graph, the negative values of x to x=3 without including it to the rest of all real numbers.

Thus, the domain of the function f(x)=1x3 is (,3)(3,)

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