1.8-1.10 Review (Composition, Inverse, and Variation)

Tags

CCSS.HSF-BF.A.1C

Tags

CCSS.HSF-BF.A.1C

g(h(0)) =

• 2
• -1

• 1

• 0

Tags

CCSS.HSF-BF.A.1C

f(g(3)) =

• 0

• 2

• -2

• 1

Tags

CCSS.HSF-BF.A.1C

What's the name of the inverse of g(x)?

• f(x)
• f^-1(x)
• y
• g^-1(x)

Tags

CCSS.HSF-BF.B.4A

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

Are the following inverses of each other? Use composition of functions. fog(x) and gof(x)

• True

• False

Tags

CCSS.HSF-BF.B.4B

The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, find the weight of the liquid in a cubical container 3 cm on a side.

• 12 g

• 6 g

• 27 g

• 54 g

If x varies inversely as v, and x = 35 when v = 3, find x when v = 15.

• 7

• 9

• 5

• 21

The time required to process a shipment of goods at Wal-Mart varies directly with the number of items in the

shipment and inversely with the number of workers assigned. If 15,000 items can be processed by 8 workers in 10 hours, then how long would it take 12 workers to process 20,000 items?

• 6.5 hours

• 7.75 hours

• 8.9 hours

• 10.2 hours