Composition OF Functions.

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Presentation transcript:

Composition OF Functions

Definition of composite functions Suppose f and g are functions such that the range of g is the subset of the domain of f. Then the composite function can be described by the equation

Let’s do an example together. • Substitute 2x-3 in for g(x): • Substitute into f(x): Next

Simplify:

• Substitute for g(x): • Substitute f(x) into g(x): • Simplify:

Another example Next

Try these on your own:

Answers:

Now we will go over how to find a value of composite of functions. Find each value. Substitute in g(x). Substitute into g(x). Simplify Next

Substitute into f(x). Simplify

Now you find the values using the same directions as in the last examples. Answer: 64 Answer: -5