GetA is a math function and not a string function.
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The rule of a function in math is what relates the input value to the output value. For example, if f(x) = x2, the "function rule" is to square the input value to get the output value.
f(x) = ...f is the name of the function, and x is the variable. I guess you could say x is the root of the function, because it is what the function relies on.
It is true that a rational function is a function whose equation contains a rational expression. This is used in various math classes.
if a function has a unique y value for each x value the function is one to one.
Normally you don't need such advanced math in the kitchen.