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with Function Operations Addition: Subtraction: Multiplication: Division:

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Presentation on theme: "with Function Operations Addition: Subtraction: Multiplication: Division:"— Presentation transcript:

1

2 with

3 Function Operations Addition: Subtraction: Multiplication: Division:

4 Examples: If and 1)Find (f + g)(x) 2)Find (f - g)(x) 3)Find 4)Find

5 Examples: If and 1)Find (f + g)(3) 2)Find (f - g)(0) 3)Find 4)Find

6 OF

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

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

9 Simplify:

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

11 Another example Next

12 Try these on your own:

13 Answers:

14 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

15 Substitute into f(x). Simplify

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


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