Exploring Composition of Functions

What is the result of F(2) if F(x) = 4x + 1?

• 9

• 8

• 7

• 10

If G(x) = x^2, what is G(9)?

• 90

• 81

• 27

• 18

What is the result of G(1) if G(a) = 3^(3a - 2)?

• 27

• 9

• 3

• 1

If F(a) = 2a + 1, what is F(3)?

• 5

• 8

• 6

• 7

What does the notation F(G(x)) represent?

• Adding F and G

• Multiplying F and G

• Plugging G(x) into F(x)

• Subtracting G from F

In a real-world example, if F(x) represents gross pay and G(x) represents taxes, what does F(G(x)) represent?

• Total hours worked

• Net pay

• Hourly wage

• Total taxes paid

What is the result of F(G(4)) if F(x) = 4x and G(x) = 7 - x?

• 16

• 3

• 7

• 12

What is the result of G(F(4)) if F(x) = 4x and G(x) = 7 - x?

• -9

• 0

• 7

• 16

If F(a) = 2a + 5 and G(a) = a^2 - 4, what is F(G(a))?

• 2a^2 - 8 + 5

• 2a^2 + 5

• 2a^2 - 4 + 5

• 2a^2 + 1

If F(a) = 2a + 5 and G(a) = a^2 - 4, what is G(F(a))?

• 4a^2 + 20a + 21

• 4a^2 + 10a + 25

• 2a^2 + 10a + 21

• 2a^2 + 20a + 25