Composite and Recursive Functions

The video tutorial explains how to find composite functions using two given functions, f(x) = 5x - 3 and g(x) = 2x + 9. It covers the notation for composite functions and provides detailed steps for calculating f(g(x)), g(f(x)), f(f(x)), and g(g(x)). Each calculation involves substituting one function into another and simplifying the result. The tutorial aims to help viewers understand the process of working with composite functions.

What is the expression for f(x) given in the video?

• 2x - 9

• 2x + 9

• 5x + 3

• 5x - 3

Tags

CCSS.HSF-BF.A.1C

Which notation is used to represent the composite function f(g(x))?

• f(x) + g(x)

• f(x) * g(x)

• f(g(x))

• g(f(x))

Tags

CCSS.HSF-BF.A.1C

What is the first step in finding f(g(x))?

• Replace f(x) with 5x - 3

• Replace g(x) with 2x + 9

• Multiply f(x) and g(x)

• Add f(x) and g(x)

Tags

CCSS.HSF-BF.A.1C

What is the simplified form of f(g(x))?

• 25x - 18

• 4x + 27

• 10x + 3

• 10x + 42

Tags

CCSS.HSF-BF.A.1C

What is the first step in finding g(f(x))?

• Multiply f(x) and g(x)

• Replace g(x) with 2x + 9

• Add f(x) and g(x)

• Replace f(x) with 5x - 3

Tags

CCSS.HSF-BF.A.1C

What is the simplified form of g(f(x))?

• 4x + 27

• 25x - 18

• 10x + 3

• 10x + 42

Tags

CCSS.HSF-BF.A.1C

What is the expression for f(f(x)) before simplification?

• f(5x - 3)

• g(2x + 9)

• f(2x + 9)

• g(5x - 3)

Tags

CCSS.HSF-BF.A.1C

What is the simplified form of f(f(x))?

• 10x + 42

• 25x - 18

• 10x + 3

• 4x + 27

Tags

CCSS.HSF-BF.A.1C

What is the expression for g(g(x)) before simplification?

• f(5x - 3)

• f(2x + 9)

• g(2x + 9)

• g(5x - 3)

Tags

CCSS.HSF-BF.A.1C

What is the simplified form of g(g(x))?

• 4x + 27

• 10x + 42

• 10x + 3

• 25x - 18

Tags

CCSS.HSF-BF.A.1C