# Functional Equation Fun

Algebra Level 5

$f(x)+f\left(\frac{6x-5}{4x-2}\right)=x$

Find the number of real-valued functions $$f,$$ that are solutions of the above functional equation, and whose domain is the set of all real numbers different from $$\frac{1}{2}$$, $$1$$, and $$\frac{3}{2}$$.

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