For the function f, if f(3x) = x - 6 for all values of x, what is the value of f(6) ?

The correct answer is: -4

HINT :- find the value of x for which we get f(6) and place it in the equation to get f(6).
Explanation:- Given the equation f(3x) = x - 6, find f(6)
Now compare f(3x) and f(6) we get 3x=6 then we get x = 2.
Substitute x=2 in the given equation f(3x) = x - 6 ; at x = 2 ,f(3  2) = 2 - 6
∴f(6) = -4

A function is defined as the relationship between a set of inputs and one output. In simple terms, it is a relationship between inputs in which each input corresponds to exactly one output. Every function has its domain and codomain, as well as a range. The general notation for a function is f(x), where x is the input. A function is represented as y = f(x).
¶Functions are the foundation of calculus in mathematics and represent the various types of relationships. A function is defined as a rule that produces a different output for each input x in mathematics. A function is denoted by mapping or transformation in mathematics.