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# Function Arithmetic

Functions follow some basic rules. For the following examples, we'll use these functions:

• $$a(x) = x^2$$
• $$b(x) = x+3$$
• $$c(x) = 4x$$

• Addition: $$(f+g)(x) = f(x) + g(x)$$, so for example, $$(b+c)(x) = 5x + 3$$.

• Multiplication: $$( f\cdot g)(x) = f(x) \cdot g(x)$$, so for example $$(a\cdot b)(x) = x^2 + 3x^2$$.

Note by Arron Kau
2 years, 11 months ago