Free SAT Practice Question

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ID: SAT-MATH-AM-031
Section: SAT Math - Advanced Math
Topic: Nonlinear functions
Difficulty level: Hard

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A function \(f\) is defined for all integers \(n \ge 1\) by \(f(1) = 3\) and, for every integer \(n > 1\), \(f(n) = \dfrac{f(n-1) - 1}{f(n-1) + 1}\). What is the value of \(f(43)\)?

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