Answer: (x - 6) / 3
Explanation:
To simplify the expression f(x) = (x^2 - 8x + 12) / (3(x - 2)), we can factor the numerator and denominator, if possible, and then cancel out any common factors.
The numerator can be factored as (x - 2)(x - 6).
The denominator is already in factored form.
So, the simplified form of f(x) is (x - 2)(x - 6) / 3(x - 2).
Note that we can cancel out the common factor of (x - 2) in the numerator and denominator, resulting in the simplified form: (x - 6) / 3.