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