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 2.6, Problem 13E
To determine

To determine the domain of a function.

Expert Solution

Answer to Problem 13E

The domain of the function h(x)=(x3)1/4 is {x|x>3} .

Explanation of Solution

Given information:

The given function is h(x)=(x3)1/4

Calculation :

In the function h(x)=(x3)1/4 or h(x)=1x34 , we cannot take the root of a negative number and a rational expression is not defined when the denominator is 0 so x3>0=x>3 .

Hence, the domain of the function h(x)=(x3)1/4 is {x|x>3} .

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