Operations with Functions Objective: Perform operations with functions and find the composition of two functions

Operations with Functions For all functions f and g: Sum: (f + g)(x) = f(x) + g(x) Difference (f – g)(x) = f(x) – g(x) Product (fg)(x) = f(x)g(x) Quotient (f/g)(x) = f(x)/g(x)

Example 1

Try This Let and. Find: (f + g)(x) (f – g)(x)

Try This Let and. Find: (f + g)(x) (f – g)(x)

Try This Let and. Find: (f + g)(x) (f – g)(x)

Example 2

Try This Let and. Find: (f g)(x) (f/g)(x)

Try This Let and. Find: (f g)(x) (f/g)(x)

Try This Let and. Find: (f g)(x) (f/g)(x)

Example 3

Try This Let and. Find: and

Try This Let and. Find: and

Try This Let and. Find: and

Example 4

Example 5 Let and. Find

Example 5 Let and. Find You have two choices. First, lets find f(g(x)) and evaluate it at x = 3.

Example 5 Let and. Find You have two choices. First, lets find f(g(x)) and evaluate it at x = 3.

Example 5 Let and. Find You have two choices. Second, we can find g(3) and put that answer into f.

Example 5 Let and. Find You have two choices. Second, we can find g(3) and put that answer into f.

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