# 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 $$f(6)?$$

×