Exploring Composition of Functions

What does the composition symbol (a small circle) represent in functions?

• Division of two functions

• Composition of two functions

• Multiplication of two functions

• Addition of two functions

Tags

CCSS.HSF-BF.A.1C

If f(x) = 2x - 3 and g(x) = x + 3, what is f(g(4))?

• 5

• 1

• 7

• 9

Tags

CCSS.HSF-BF.A.1C

Given f(x) = 2x - 3 and g(x) = x + 3, what is g(f(-2))?

• 3

• 7

• 10

• -1

Tags

CCSS.HSF-BF.A.1C

Using the tables provided, if G(2) = 3 and F(3) = 1, what is F(G(2))?

• 3

• 1

• 2

• 4

Tags

CCSS.HSF-BF.A.1C

Using the tables, if F(3) = 1 and G(1) = 9, what is G(F(3))?

• 1

• 3

• 12

• 9

Tags

CCSS.HSF-BF.A.1C

If f(x) = √x and g(x) = 2x + 3, what is f(g(x))?

• √(2x + 3)

• 2√x + 3

• √x + 3

• 2x + √3

Tags

CCSS.HSF-BF.A.1C

Given f(x) = √x and g(x) = 2x + 3, what is g(f(x))?

• 2x + √3

• √(2x + 3)

• 2√x + 3

• 2x + 3

Tags

CCSS.HSF-BF.A.1C

If f(x) = x^2 + 4, g(x) = 2x + 3, and h(x) = x - 5, what is h(g(4))?

• 6

• 8

• 9

• 7

Tags

CCSS.HSF-BF.A.1C

Given f(x) = x^2 + 4, g(x) = 2x + 3, and h(x) = x - 5, what is f(g(4))?

• 133

• 129

• 125

• 121

Tags

CCSS.HSF-BF.A.1C

If f(x) = x^2 + 4, g(x) = 2x + 3, and h(x) = x - 5, what is g(f(x))?

• 2x^2 + 8

• 2x^2 + 11

• 2x^2 + 7

• 2x^2 + 13

Tags

CCSS.HSF-BF.A.1C