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91Ó°ÊÓ

In the following exercises, find the domain of each function.

Rx=8x2-32x2x2-6x-80

Short Answer

Expert verified

The domain isR--5,8

Step by step solution

01

Given Information

Rx=8x2-32x2x2-6x-80


02

Step 2. Factor the denominator  

Set the denominator zero

2x2-6x-80=02x2-3x-40=0

x2-3x-40=0x-8x+5=0
03

Step 3. Use the Zero Product Property  

x-8=0orx+5=0x=8,-5

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