Math Problem Statement
f(x) = 1/(x2 + 2x − 3)
Solution
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Math Problem Analysis
Mathematical Concepts
Rational Functions
Factorization
Asymptotes
Formulas
Factorization of quadratic expressions: ax^2 + bx + c = (x - r1)(x - r2)
Vertical asymptotes occur where the denominator is zero
Horizontal asymptote: y = 0 when the degree of the numerator is less than the degree of the denominator
Theorems
Rational Function Asymptote Theorem
Quadratic Factorization Theorem
Suitable Grade Level
Grades 10-12
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