Composite Functions

If f(x) = 9x + 21; find f(-2)

• -18

• -2

• 3

• 39

Tags

CCSS.HSF.IF.A.2

Which option below is the same as (f∘g)(x) (How can you rewrite this)

• f(x)*g(x)

• f(g(x))

• g(f(x))

• (f*g)(x)

Tags

CCSS.HSF-BF.A.1C

Using the graph of f(x) shown, what is f(6)?

• 0

• -2

• 6

• 3

Tags

CCSS.HSF.IF.A.2

Given:

f(x) = 2x

g(x) = x² + 3

Find f(g(x))

• x² + 2x + 3

• 2x² + 3

• 4x² + 3

• 2x² + 6

Tags

CCSS.HSF-BF.A.1C

Given:

f(x) = 2x

g(x) = x² + 3

Find f(g(3))

• 24

• 72

• 18

• 3

Tags

CCSS.HSF-BF.A.1C

Using the graph, what is g( f(-2) )

• -2

• 0

• -4

• 4

Tags

CCSS.HSF-BF.A.1C

Given:

f(x) = 2x

g(x) = x² + 3

Find g(f(5))

• 56

• 38

• 103

• 5

Tags

CCSS.HSF-BF.A.1C

Using the graph, what is f( g(-1) )

• 1

• 0

• -1

• -3

Tags

CCSS.HSF-BF.A.1C

Given:

f(x) = -3x + 7

g(x) = 2x² - 8

Find f(g(x))

• 18x² - 84x + 6

• 6x² + 24

• -6x³ + 14x² - 24x - 56

• -6x² + 31

Tags

CCSS.HSF-BF.A.1C

Using the graph, what is f( g(1) )

• 4

• 0

• -1

• 5

Tags

CCSS.HSF-BF.A.1C