Warm Up Simplify. Assume all variables are positive.

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Presentation transcript:

Warm Up Simplify. Assume all variables are positive.

7.3 Power Functions and Function Operations

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

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.

Function Operations

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).

Composition Continued Find