How to Evaluate the Composition Between Two Functions

The video tutorial explains how to evaluate and compose functions. It begins with an introduction to the concept of function composition, followed by a step-by-step guide on composing two functions. The tutorial then demonstrates how to evaluate the composed function by substituting a specific value. The process is illustrated with an example, resulting in a final evaluation. The video concludes with a summary of the steps involved in evaluating a composition of functions.

What is the first step in evaluating a composition of functions?

• Integrate the functions

• Find the derivative of the functions

• Evaluate each function separately

• Compose the functions

When determining the composition of functions, what do you do with the inner function?

• Add it to the outer function

• Divide it by the outer function

• Multiply it by the outer function

• Substitute it into the outer function

What expression represents the composition F(G(x)) if G(x) = 5x?

• 3x - 1

• 5x + 3

• x^2 + 5

• 15x - 1

After composing the functions, what is the next step to evaluate it for a specific value?

• Integrate the composed function

• Differentiate the composed function

• Graph the composed function

• Substitute the specific value into the composed function

What is the result of evaluating the composed function F(G(x)) at x = 3?

• 43

• 44

• 45

• 46