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Chapter 2: Q. 60 (page 69)

In Problems 47鈥� 62, find the domain of each function.

q(x)=-x-2

Short Answer

Expert verified

The domain of the given function is{x|x鈮�-2}

Step by step solution

01

Step 1. Given Information 

In the given problems we have to find the domain of given function.

q(x)=-x-2

02

Step 2. The function q tells us to take the square root of -x-2.

But only non-negative numbers have real square roots, so the expression under the square root (the radicand) must be non-negative (greater than or equal to zero).

03

Step 3. This requires that

-x-2鈮�0

Add 2 on both side

-x-2+2鈮�0+2-x鈮�2

Multiply with -1on both side and change the inequality

-x脳(-1)鈮�2脳(-1)x鈮�-2

04

Step 4. The domain of q is

{x|x鈮�-2}

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