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Chapter 2: Q. 51 (page 69)

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

g(x)=xx2-16

Short Answer

Expert verified

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

g(x)=xx2-16

02

Step 2. The function g tells us to divide x by x2-16.

Since division by 0is not defined, the denominator x2-16can never be 0, so xcan never equal -4or 4. The domain of the function g is{x|x鈮�-2,x鈮�2}

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