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Solution Steps

1. Understand the question

   2:22pm mon feb 9
   m317 cs unit 5b rationals part 2 test s
   fill in the blank.
   question 7
   find the following given the function. no spaces in answers.
   $y = \\frac{x - 2}{x^2 - 3x - 10}$
   vertical asymptote:

2. Explanation

   Step1: Factor the denominator

   $x^2-3x-10=(x-5)(x+2)$

   Step2: Identify undefined x-values

   Set denominator to 0: $(x-5)(x+2)=0$
   Solutions: $x=5$, $x=-2$

   Step3: Check for removable factors

   Numerator is $x-2$, no common factors with denominator.

   Step4: Confirm vertical asymptotes

   Vertical asymptotes are at non-removable undefined x-values.

3. Final answer

   $x=5,x=-2$

Answer

Question Analysis

OCR Text

2:22pm mon feb 9
m317 cs unit 5b rationals part 2 test s
fill in the blank.
question 7
find the following given the function. no spaces in answers.
$y = \\frac{x - 2}{x^2 - 3x - 10}$
vertical asymptote:

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