Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Rational Functions
Factoring
Vertical Asymptotes
Limits
Holes in Functions
Formulas
f(x) = (2x^2 + 7x + 3) / (x^2 - x - 12)
Factoring: x^2 - x - 12 = (x - 4)(x + 3)
Theorems
Asymptote theorem for rational functions
Hole in function if both numerator and denominator are zero at the same point
Suitable Grade Level
Grades 10-12
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