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Chapter 8: Q. 405 (page 833)

Explain how to find the domain of a fourth root function.

Short Answer

Expert verified

[0,鈭�)

Step by step solution

01

Step 1. Given information.

In this case, a fourth root function is given.

02

Step 2. Finding the domain.

To find the domain of a fourth root function, we need to apply the properties of radicals. According to the property of radicals, if nis an even number and a鈮�0, then anis a real number and if a<0then anis an odd number.

Since for a fourth root function n=4(which is even), the domain of the function will be[0,鈭�).

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