# Find the domain of the function f ( x ) = x 9 − x 2 4

BuyFind

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2.1, Problem 64E
To determine

Expert Solution

## Answer to Problem 64E

The domain of the function f(x)=x9x24 is (3,3)

### Explanation of Solution

Given information: Consider the function f(x)=x9x24

Calculation:

For the numerator x all real values are acceptable to make the function is real and defined.

Don’t take the 4throot of a negative number in denominator, so the denominatormust have, f(x)>0

9x2>0(3x)(3+x)>03<x<3

Hence the given function is defined for all the values of x in the set of real numbers except of the values less than -3 and more than 3.

Thus, the domain of the function f(x)=x9x24 is (3,3)

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!