Function Compositions

g(n) = n² + 5n

f(n) = n + 4

Find g(f(n))

• n² + 3n + 36

• n² + 13n + 16

• n² + 13n + 36

• n² + 3n + 20

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

h(x) = -4x + 3

g(x) = 4x - 2

Find h(g(6))

• -107

• 107

• -85

• 85

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

g(a) = 4a + 1

h(a) = -3a + 2

Find g(h(1))

• 3

• -3

• 21

• -21

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

f(a) = a² + a - 3

g(a) = 3a

Find f(g(a))

• 9a² - 3a + 3

• 9a² + 3a - 3

• 3a² - 3a + 3

• 3a² + 3a - 3

Tags

CCSS.HSA.APR.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

When solving f(g(x)) you work in what order?

• Left to right
• Alphabetical
• INSIDE then OUT
• It doesn't matter what you solve first, just pick your favorite letter.

f(x) = 2x - 5

g(x) = -4x - 2

Find f(g(-2))

• 25

• -25

• -7

• 7

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

• 9 - 8/3
• 9 + 8/3
• 3
• 1/3

Tags

CCSS.HSA.SSE.A.1

• 3
• 1
• 4
• None of the Above

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

Given f(x) = x² - 3 and g(x) = x - 3, find f(g(f(3))).

• 0
• 3
• 6
• 9

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

g(n) = 2n + 4

Find g(g(-6))

• -12

• 12

• 36

• -36

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2