Easiest Way to Evaluate Composition of Two Functions

The video tutorial explains how to evaluate the composition of two functions. It begins by demonstrating how to find the value of F(-4) by substituting -4 into the function F(x). The result is calculated as -13. Next, the tutorial shows how to use this result to evaluate G(F(-4)) by substituting -13 into the function G(x), resulting in -65. The tutorial concludes by summarizing the steps involved in evaluating the composition of two functions.

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

• Find the integral of G(x)

• Evaluate G(x) first

• Evaluate F(x) first

• Find the derivative of F(x)

What is the result of evaluating F(-4)?

• -12

• -1

• 0

• -13

After finding F(-4), what is the next step in evaluating the composition?

• Evaluate G(-4)

• Evaluate G(F(-4))

• Differentiate F(x)

• Find the inverse of F(x)

What value do you substitute into G(x) to find G(F(-4))?

• -4

• -13

• 0

• 1

What is the final result of evaluating G(F(-4))?

• 50

• 13

• -50

• -65