A Nice Functional Equation 2

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[antik]

thanks for the video! I got to learn something new, which is you gotta find the input within the output

[ignaciodecastrofondevila]

Thanks for your videos. Love when I resolve them.

[SidneiMV]

(2x - 1)/2 = u => x = (2u + 1)/2

f(u) = (2u + 1)²/4 - (2u + 1)/2
f(u) = (4u² + 4u + 1 - 4u - 2)/4

*f(u) = (4u² - 1)/4*