How to Find a Composite Function and Inverse Function..

Key Takeaways. The composition operator (○) indicates that we should substitute one function into another. In other words, (f○g)(x)=f(g(x)) indicates that we substitute g(x) into f(x). If two functions are inverses, then each will reverse the effect of the other.
In Mathematics, inverse function represents a way to solve for dependent variable(y) as a function of dependent variable(x). On the other hand, composite function signifies a method of integrating two separate functions in a such a way that the result or outcome of the one becomes equal to the input of the other.

Objective
Combine functions to create other functions.
Find a composite function
Find inverse functions algebraically.