HPC 2.6 – Operations on Functions; Composite Functions Learning Targets: -Form the sum, difference, product, and quotient of two functions. -Form the composite.

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Presentation transcript:

HPC 2.6 – Operations on Functions; Composite Functions Learning Targets: -Form the sum, difference, product, and quotient of two functions. -Form the composite function and find its domain.

Ex 1) For the given functions f and g, find the following functions and state the domain of each:

Composite Functions Think of putting a function into another function for the variable.

Ex 2) For the given functions, find each of the following:

Ex 3) For the given functions, find each of the following:

Ex 4) For the given functions, find the domain of :

Ex 5) For the given functions, show that

Ex 6) The number N of cars produced at a certain factory in 1 day after t hours of operation is given by,. If the cost C (in dollars) of producing N cars is, find the cost C as a function of the time t of operation of the factory.