Function Operations Compositions and Inverses

• 6x-1
• 5x²-15x-6
• -8x-6
• 5x²-13x-6

Tags

CCSS.HSF-BF.A.1B

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

• 3x² - 2

• 3x + 8

• 3x + 4

• None of these.

Tags

CCSS.HSF-BF.A.1C

Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute:  (h ^o g)(x)

• 3x² + 3

• -1

• 6x - 3

• 9x² + 1

Tags

CCSS.HSF-BF.A.1C

The inverse has been reflected over which line?

• y = x

• y =1

• y = 0

• y = x + 1

Perform the indicated operation:

• A

• B

• C

• D

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

Tags

CCSS.HSF-BF.A.1B

Given that f(x) = 3x + 5 and g(x) = 1/3x + 5, find f(g(x)).  Are the two functions inverses of each other?

• x + 20 ; Yes they are inverses

• x + 20 ; No, they are not inverses

• x ; Yes they are inverses

• x ; No, they are not inverses

Tags

CCSS.HSF-BF.B.4B

Perform the indicated operation:

• A

• B

• C

• D

Tags

CCSS.HSF-BF.A.1C

Perform the indicated operation:

• A

• B

• C

• D

Tags

CCSS.HSF-BF.A.1C