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Chapter 2: Q. 5 (page 69)

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

h(x)=3x-12

Short Answer

Expert verified

The domain of the given function is{x|x鈮�4}

Step by step solution

01

Step 1. Given Information 

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

h(x)=3x-12

02

Step 2. The function h tells us to take the square root of 3x-12.

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

3x-12鈮�0

Add 12 on both side

3x-12+12鈮�0+123x鈮�12

Divide by 3 on both side

33x鈮�123

x鈮�4

04

Step 4. The domain of h is

{x|x鈮�4}

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