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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.
For instance the language LG of group theory is determined by the sig-. nature consisting of the following relation and function symbols: the group. operation â¦ (a binary function symbol), the unit e (a constant), the inverse. operation â1 (a unary function symbol) and ï¬nally equality = (a binary. relation symbol).