Exploring Composition of Functions with Tables and Graphs

What does the notation F(G(x)) represent in compositional functions?

• F and G are independent functions

• F and G are the same function

• The input of G is the output of F

• The input of F is the output of G

Tags

CCSS.HSF-BF.A.1C

If G(4) = 3 and F(3) = 1, what is F(G(4))?

• 2

• 1

• 3

• 4

Tags

CCSS.HSF-BF.A.1C

In the example F(F(6)), if F(6) = 4 and F(4) = 2, what is the result?

• 2

• 6

• 1

• 4

Tags

CCSS.HSF-BF.A.1C

Given F(4) = 2 and G(2) = 1, what is G(F(4))?

• 3

• 2

• 4

• 1

Tags

CCSS.HSF-BF.A.1C

If G(4) = 3 and G(3) = 2, what is G(G(4))?

• 4

• 2

• 1

• 3

Tags

CCSS.HSF-BF.A.1C

On a graph, if G(2) = 5 and F(5) = 7, what is F(G(2))?

• 5

• 7

• 2

• 4

Tags

CCSS.HSF-BF.A.1C

If F(2) = 4 and G(4) = 4, what is G(F(2))?

• 6

• 4

• 2

• 8

Tags

CCSS.HSF-BF.A.1C

Given F(-2) = 0 and F(0) = 2, what is F(F(-2))?

• 0

• 4

• 2

• 6

Tags

CCSS.HSF-BF.A.1C

If G(-4) = 8 and F(8) = 10, what is F(G(-4))?

• 8

• 12

• 14

• 10

Tags

CCSS.HSF-BF.A.1C

On a graph, if G(0) = -3 and F(-3) = 5, what is F(G(0))?

• 0

• -3

• 5

• 3

Tags

CCSS.HSF-BF.A.1C