1. Warm Up
Simplify. Assume all variables are positive.

2. 7.3 Power Functions and Function Operations

3. Function Operations
Let f and g be any two functions. A new function h can be defined by performing four basic operations.

4. Power Functions Power Functions in the form of y = axb
Where a is a real number
b is a rational number.
Note: When b is a positive integer, the function is a type of polynomial.

5. Function Operations

6. Composition of Two Functions
The composition of the function f with the function g is
A composition is essentially one big substitution. In this case, every x in f(x) is replaced with g(x).

7. Composition Continued
Find