When a function is written in function notation and x is the input, f(x) represents the output of the function at x.
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Equation & & Function Notation [1ex]
y=-5x+4 & & f(x) = -5x+4
Here we have a function h that represents your height. This means that h(x) represents your height at age x, where age is the input and height is the output.
f(age)=height
As such, h(14) represents your height at the age of 14 because 14 is the input, age, and h(14) represents your height dependent on age.