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Chapter 8: Q. 406 (page 833)

Explain how to find the domain of the fifth root function.

Short Answer

Expert verified

(-鈭�,鈭�)

Step by step solution

01

Step 1. Given information.

In this case, a fifth root function is given.

02

Step 2. Finding the domain of the function.

To find the domain of the fifth root function, we need to apply the property of radicals. According to this property, if the radical nis odd, then the function anis real for all values of a.

Since for a fifth root function, n=5(which is odd), the domain of the function will be all real numbers. In the interval notation can be expressed as(-鈭�,鈭�).

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