Function Compositions and Combinations

• 9 - 8/3
• 9 + 8/3
• 3
• 1/3

• 3
• 1
• 4
• None of the Above

h(x) = -4x + 3

g(x) = 4x - 2

Find h(g(6))

• -107

• 107

• -85

• 85

When solving f(g(x)) you work in what order?

• Left to right

• Alphabetical

• INSIDE then OUT

• It doesn't matter what you solve first, just pick your favorite letter.

Compose the Function and Determine the Domain

• [-1, inf)

• (-1, inf)

• All Real Numbers

• (0, inf)

Find (f(g(x))

• x⁴ - 12x² + 39

• x⁴- 6x² + 3

• x⁴ - 33

• x⁴ + 3

Find (g(f(x))

• x⁴ + 3

• x⁴ - 33

• x⁴ + 6x² + 3

• x⁴ -12x² + 39

Compose the Function and Determine the Domain

• (-inf, 2)

• (-inf, inf)

• (2, inf)

• (0, inf)

Match the functions below with their compositions.

• 
• 
• 
• 
• 

Compose the Function and Determine the Domain

• (9/2, inf)

• (-inf, 9/2)

• (-inf, 9/2]

• [9/2, inf)