Inverse/Logs

Quinten and his sister Kelsey always make a habit of undoing each other’s work. If Kelsey folds the laundry, Quinten unfolds it. If Quinten rakes the leaves in the yard, Kelsey “unrakes” them! While working on her math homework, Kelsey wrote the following equations. Help Quinten undo this equation by finding the inverse equation.

y = 3x − 2

• y=(x+2)/3

• y=x+0.6667

• y=(x-2)/3

• y=x-0.6667

Tags

CCSS.HSF-BF.B.4A

Find the inverse of the equation above:

• y= 4x-1

• y=x/4+1

• y=x/4-1

• y=4x-0.25

Tags

CCSS.HSF-BF.B.4A

Given the function above:

What is the domain?

• x >= 1

• x > -1

• y >= 1

• x >= 0

Give the function above

What is the range?

• y > 0

• y >= 2

• y >= 5

• x >= 0

What does the graph of the equation above look like?

• 
• 
• 
• 

Determine the equation for f⁻¹(x), that is, the inverse of f(x).

• f^-1(x)= x+5

• f^-1(x)= (x-2)²+1

• f^-1(x)= (x-2)²-1

• f^-1(x)= (x+2)²+1

Tags

CCSS.HSF-BF.B.4A

Use the definition of logarithms to compute each of the following without using a calculator

log₈(64)

• 1

• 2

• 3

• 4

Use the definition of logarithms to compute each of the following without using a calculator

log₉(x)=1/2

x=____

• 3

• 4.5

• 18

• 81

Tags

CCSS.HSF.BF.B.5

log₃(3⁴) = x

x=

• 81

• 4

• 3

• 27

What does x =_____

• 1000

• 40

• 3.1415

• 4

Tags

CCSS.HSF.BF.B.5