Understanding Composite Functions

The video tutorial explains how to evaluate composite functions using tables for functions f and g. It demonstrates the process of finding f(g(0)) and g(f(0)) by first evaluating the inner function and then using its output as the input for the outer function. The tutorial emphasizes understanding the order of operations in composite functions and provides a clear, step-by-step approach to solving these problems.

What is the output of the function f when the input is -4?

• 29

• 11

• 5

• 8

What is the first step in evaluating f(g(0))?

• Input 0 into function f

• Input 0 into function g

• Input 5 into function f

• Input 5 into function g

What is the value of g(0)?

• 1

• 11

• 5

• 8

What is the result of f(g(0))?

• 11

• 5

• 8

• 1

What is the first step in evaluating g(f(0))?

• Input 0 into function g

• Input 0 into function f

• Input 1 into function f

• Input 1 into function g

What is the value of f(0)?

• 8

• 11

• 5

• 1

What is the result of g(f(0))?

• 11

• 1

• 5

• 8

Which composite function results in 11?

• f(f(0))

• g(g(0))

• g(f(0))

• f(g(0))

Which composite function results in 8?

• g(f(0))

• f(g(0))

• g(g(0))

• f(f(0))

What is the key difference between f(g(0)) and g(f(0))?

• They are evaluated in the same order

• They produce different outputs

• They use different functions

• They use different input values