PC.F-BF.A.1C: Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
PC.F-BF.B.4B: Verify by composition that one function is the inverse of another.
Determine the composition of two functions.
Determine the inverse of a function.
How does composing two functions to create a new function change when the order of functions is changed?
functions
piecewise-defined functions