Function Composition and Evaluation

The video tutorial explains function composition, focusing on substituting one function into another. It demonstrates how to evaluate a composite function with specific input values, using g(x) and h(x) as examples. The process involves calculating g(-5) and then using that result to find h(-1). The tutorial concludes with a brief discussion on homework and the importance of following the step-by-step process.

What does the notation h(g(x)) represent?

• The sum of h and g functions

• The product of h and g functions

• The composition of h and g functions

• The division of h by g functions

What is the first step in substituting g(x) into h(x)?

• Divide h(x) by g(x)

• Multiply g(x) by h(x)

• Replace x in h(x) with g(x)

• Add g(x) to h(x)

When substituting specific values, what is the input value used instead of x?

• 10

• -5

• 0

• 5

How do you calculate g(-5) if g(x) = x/5?

• 1

• 0

• -1

• 5

What is the result of g(-5) in the function composition?

• 0

• 1

• -1

• 5

What is the next step after finding g(-5) = -1?

• Calculate g(-1)

• Calculate g(1)

• Calculate h(-1)

• Calculate h(1)

What is the first operation when solving h(-1)?

• Multiply by -2

• Add 9

• Square -1

• Subtract 2

What is the result of squaring -1?

• 2

• 1

• 0

• -1

What is the final result of h(-1) after all calculations?

• 5

• 7

• 9

• 11

What is the value of h(-1) after squaring and multiplying by -2?

• -2

• 2

• 0

• 1