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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
3 years, 7 months ago

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[example link](https://brilliant.org)example link
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# up as a code block.

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# 4 spaces, and now they show
# up as a code block.

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Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

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