Question
The function
is defined as follows.
Find
.
Simplify. your answer as much as possible. If applicable, click on “Undefined”.
Simplify. your answer as much as possible. If applicable, click on “Undefined”.
Ask by Elliott Knight. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
The function is given as
Step 1. Factor the numerator and the denominator if possible.
The numerator can be factored as
The denominator is a perfect square:
Step 2. Write the function in its factored form.
Thus, the function becomes
Step 3. Substitute
into the function.
When
:
Step 4. Analyze the result.
Because the denominator is
when
and the numerator is non-zero, the expression is undefined at
.
Thus, the value of
is
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Beyond the Answer
To find
, we first substitute
into the function:
Calculating the numerator:
Now, calculating the denominator:
Since the denominator is 0, we find that
is undefined.