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1) You can add/subtract functions: f(x) +- g(x) = (f +- g)(x).
2) You can multiply/divide functions: f(x) */ g(x) = (f */ g)(x).
3) You can compose functions: f(x) . g(x) = (f(g(x))) = (f . g)(x).
Let f(x) = 3x + 1 and g(x) = x2
Ex 1. (f + g)(x) = x2 + 3x + 1
Ex 2. (f * g)(x) = (3x + 1) * x2 = 3x3 + x2
Ex 3. (f(g(x))) = 3(x2) + 1 (Note that you replace all the x's in the function f(x) with the whole value of g(x).
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