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# Finding the Domain of Radical Functions

Module by: Pradnya Bhawalkar, Kim Johnston. E-mail the authors

Summary: Finding the domain of radical/root functions.

When finding the domain of even-degree roots, the expression under the radical must be greater than or equal to 0.

## Example 1

Find the domain of y=x y x

x x0 x x 0

PRACTICE - Find the Domain of the following:

y=2x5 y 2x5

## Exercise 2

y=7x4 y 4 7x

The rest of the answers will be expressed in interval notation since that is a simpler way to express answers.

## Exercise 3

y=4x2164 y 4 4x216

## Exercise 4

y=1625x2 y 16 25 x 2

## Exercise 5

y=(x7)(x+1) y x 7 x 1

## Exercise 6

y=2x27x+3 y 2 x 2 7 x 3

## Exercise 7

y=xx2+4 y x x 2 4

y=x+x+8 y x x8

y=6x2+8 y 6x28

y=(8)6x2 y 86x2

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