Composite Function Operations

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

• 19

• 23

• -10

• None of these.

Tags

CCSS.HSF-BF.A.1C

Which expression represents g(f(x)) if          f(x) = 2x - 8
and
g(x) = 4x

• 8x - 32

• 8x² - 32x

• 8x - 8

• 6x - 8

Tags

CCSS.HSF-BF.A.1C

If f(x) = x² and g(x) = 3x - 1, find f(g(x))

• 9x² - 6x + 1

• 3x - 1

• 3x² - 1

• 9x² - 1

Tags

CCSS.HSF-BF.A.1C

Given f(x) = 2x and g(x) = x²+3 , find f(g(x)).

• x²+2x+3

• 4x²+3

• 2x²+3

• 2x²+6

Tags

CCSS.HSF-BF.A.1C

f(x) = 3x + 10
g(x) = x - 2

Find (f∘g)(0)

Tags

CCSS.HSF-BF.A.1C

g(x)=3x+4

h(x)=3x-1

Find (g∘h)(x)

Tags

CCSS.HSF-BF.A.1C

Tags

CCSS.HSF-BF.A.1C

Fill in the 4 empty boxes with correct expressions. For the yellow & blue box, write in what the composition equals. For the purple and red boxes, write a composition that will equal the given value.

Tags

CCSS.HSF-BF.A.1C

What is the domain of (f+g)(x)

• [-5, 3]

• [-4, 6]

• [-4, 3]

Tags

CCSS.HSF-BF.A.1B

Tags

CCSS.HSF-BF.A.1C