Question
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ind the domain of the following function.

point(s) possible
A. all real numbers the correct choice below, and if necessary, fill in the answer box to complete your choice.
B.
C.
D. all real numbers except

Ask by Vaughn Harris. in the United States
Mar 22,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The domain of the function is all real numbers except .

Solution

  1. The function is
  2. The function is undefined when the denominator is zero. So, set the denominator equal to zero:
  3. Solve for :
  4. Therefore, the function is defined for every real number except .
  5. The correct answer is option D with

Answered by UpStudy AI and reviewed by a Professional Tutor

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Extra Insights

The function is a rational function, which means we need to identify values of that might make the denominator zero. Setting the denominator equal to zero gives us , which simplifies to . Therefore, the function is defined for all real numbers except .
So, the domain of is all real numbers except . Thus, the correct answer is D: all real numbers except .

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