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f(f(x)) = x if f(x) =|4 - 4|x||- 2- All-Russian MO 1996 Regional (R4) 11.5

Source:

September 23, 2024
algebra

Problem Statement

Given the function f(x)=∣4−4∣x∣∣−2f(x) =|4 - 4|x||- 2. How many solutions does the equation f(f(x))=xf(f(x)) = x have?
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