## Notation and meaning of functions

"m is the function of g" can be written as $$m = f(g)$$. Meaning: m changes as the result of the variable g changing.

If g itself is a function of v, and their relation is written as $$g = F(v)$$, the m can also be written as

$$m=f(F(v))$$

g is the value of $$F(v)$$, and m is the value of $$f(g)$$.

## Definition of function

One variable $$y$$ is said to be the function of another variable $$x$$ if for every possible value of $$x$$ there is a corresponding value of $$y$$. Written as

$$y = f(x)$$

$$x$$ is the independent variable while $$y$$ is the dependent variable.