Systemic Lupus Erythematosus: The Great Imitator
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Set y = x/(x+2). Solve for x: y(x+2) = x ⇒ yx + 2y = x ⇒ yx - x = -2y ⇒ x(y-1) = -2y ⇒ x = -2y/(y-1) = 2y/(1-y). So f⁻¹(x) = 2x/(1-x).
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