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When referring to applying g(x) to f(x), the function composition is denoted as (f\:\circ\:g)(x),\:or\:f(g(x)). Functions. A function basically relates an input to an output, thereâs an input, a relationship and an output. For every input there is only one output.
Now we are going to take a look at function notation and how it is used in Algebra. The typical notation for a function is f(x). This is read as f of x This does NOT mean f times x. This is a special notation used only for functions. However, f(x) is not the only variable used in function notation. You may see g(x), or h(x), or even b(a). You can use any letters, but they must be in the same format - a variable followed by another variable in parenthesis.