An algebra problem by Dipa Parameswara

Algebra Level 4

Suppose that \( f: \mathbb{R} \rightarrow \mathbb{R} \) satisfies

\[\frac{f\big(6f(a)-36\big)-f(6b)}{a-b}=6, \quad \text{ for } a\neq b\]

Given the above, what is the value of \(f(6)?\)

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