A Sum of Symmetric Solutions

★ 7/10functions Vieta's Formulas Symmetry

Problem

Let $f(x)$ be a continuous even function that is strictly monotonic for $x>0$ . Find the sum of all $x$ satisfying $f(x)=f\left(\dfrac{x+3}{x+4}\right)$ .

Answer

Solution

Difficulty	7/10
Topics	functions, Vieta's Formulas, Symmetry

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