Inverse and Composite Functions

To find the inverse function, switch the $x$ and $y$ values, and then solve for $y$.

Functional composition allows for the application of one function to another; this step can be undone by using functional decomposition.

Domain restriction is important for inverse functions of exponents and logarithms because sometimes we need to find an unique inverse.

A composite function represents, in one function, the results of an entire chain of dependent functions.