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You have Y and you have X. F=function. Y is already a function of X because here's another way you write Y: F(X). So instead of putting Y you out F(X) which meanf "F or X" or "function of X".
Well, if you solve the equation for "y", you have "y" as a function of "x". Or you can do it the other way round; solve for "x", to get "x" as a function of "y" (the first option is more commonly used, though).
If you mean y = -9x + 6, or something similar: ANY equation that is solved for "y" can be considered a function (of "y", with respect to "x"). You an write the above in functional notation as: f(x) = -9x + 6
A function is any rule to assign a value (for example) to a variable "y", depending on the value of variable "x". Such a rule can be written in different ways; in algebra, it is common to write some equation, preferably one that is already solved for "y", such as: y = x2 + 3
1) Solve the equation for the desired variable. 2) Write it in function notation. For example, if y = 2x + 3, it is already solved for "y"; just rewrite it as f(x) = 2x + 3.