Exploring the Composition of Functions

What does the open circle symbol (∘) represent in the context of functions?

• Multiplication

• Addition

• Division

• Composition

Tags

CCSS.HSF-BF.A.1C

In the expression f(g(2)), which function should be evaluated first?

• Neither

• Both simultaneously

• g

• f

Tags

CCSS.HSF-BF.A.1C

If g(x) = 4x - 7, what is g(2)?

• 9

• 7

• 8

• 1

Tags

CCSS.HSF.IF.A.2

After finding g(2) = 1, what is the next step in solving f(g(2))?

• Evaluate f(1)

• Evaluate g(1)

• Evaluate f(2)

• Evaluate g(f(1))

Tags

CCSS.HSF-BF.A.1C

If f(x) = 2x - 3, what is f(1)?

• 1

• 2

• 0

• -1

Tags

CCSS.HSF.IF.A.2

What does the expression f(g(x)) mean?

• f(x) - g(x)

• f applied to g(x)

• f(x) + g(x)

• f(x) * g(x)

Tags

CCSS.HSF-BF.A.1C

If g(x) = 4x - 7, what is f(g(x)) when f(x) = 2x - 3?

• 8x - 17

• 8x - 7

• 8x - 14

• 8x - 10

Tags

CCSS.HSF-BF.A.1C

In the expression f(g(x)), what replaces the variable x in f(x)?

• The value of x

• The function g(x)

• The value of g(x)

• The function f(x)

Tags

CCSS.HSF-BF.A.1C

What is the simplified form of f(g(x)) if f(x) = 2x - 3 and g(x) = 4x - 7?

• 8x - 7

• 8x - 17

• 8x - 14

• 8x - 10

Tags

CCSS.HSF-BF.A.1C

How can the composition of functions be written alternatively?

• f ∘ g

• f * g

• f + g

• f - g

Tags

CCSS.HSF-BF.A.1C