AFA Practice Questions - AFA Concurso De Admissão (Academia Da Força Aérea) Exam

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Let f: ℝ − {1} → ℝ − {2} be the bijective function defined by f(x) = (2x + 3)/(x − 1). What is the rule that defines the inverse function f⁻¹(x)?

f⁻¹(x) = (x + 3)/(x − 2) f⁻¹(x) = (x − 3)/(x + 2) f⁻¹(x) = (2x − 1)/(x + 3) f⁻¹(x) = (3x + 1)/(2x − 1)

Correct Answer:

f⁻¹(x) = (x + 3)/(x − 2)

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