Understanding Composite and Inverse Functions

This video tutorial covers the basics of composite and inverse functions, explaining how to evaluate them using a data table. It provides examples of finding function values and their inverses, and introduces composite functions with step-by-step problem-solving. The tutorial progresses to more complex problems, reinforcing the concepts of function evaluation and inverse relationships. By the end, viewers will understand how to handle composite and inverse functions effectively.

What is the value of f(2) if f(x) gives a value of 8 when x is 2?

• 8

• 6

• 4

• 2

If the inverse of f(8) is 2, what does this imply about the function f?

• f(2) = 8

• f(8) = 2

• f(2) = 4

• f(4) = 2

When evaluating an inverse function, what are you primarily looking for?

• Z value

• X value

• Function value

• Y value

What is the inverse of f(-7) if f(4) equals -7?

• -7

• 2

• 4

• 0

What is the value of G(0) if the Y value is 6?

• 2

• 0

• 4

• 6

In composite functions, what is the first step to evaluate f(g(1))?

• Find f(g)

• Find g(1)

• Find f(1)

• Find g(f)

If G(2) equals 4, what is the inverse of f(4)?

• 2

• 4

• 3

• 1

What is the result of f(g(1)) if g(1) equals 3 and f(3) equals 6?

• 3

• 12

• 6

• 9

If the inverse of f(6) is 3, what is G(3) if it equals 8?

• 10

• 8

• 6

• 3

What is the final result of the expression involving the inverse of f, G, and another inverse of f, if the answer is 2?

• 2

• 0

• 3

• 1