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Published byYessenia Yeo Modified over 2 years ago

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Function Operations Addition: Subtraction: Multiplication: Division:

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

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

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OF

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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

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

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Simplify:

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

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Another example Next

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Try these on your own:

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Answers:

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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

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Substitute into f(x). Simplify

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

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