Inverse Relations and Functions

What does it mean to find the inverse of a function?

• the x's and y's are switched
• the x's and y's are divided by 2
• the x's and y's are made negative
• the x's and y's are the same

Tags

CCSS.HSF.BF.B.4

What is the FIRST step I need to take to solve for x in the following equation?

• Add 9 to both sides

• Take the square root of both sides

• Divide both sides by 49

• Multiply both sides by 9

Tags

CCSS.HSA-REI.B.4B

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

• (1, 2) (3, 8) (-3, 6)
• (1, 2) (8, 3) (-3, 6)
• (-1, -2) (-3, -8) (3, -6)
• (2, 1) (8, 3) (6, -3)

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

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

Find the inverse of f(x) = x² - 5

• f^-1(x) = √(x) + 5
• f^-1(x) = ∛(x-5)
• f^-1(x) =√(x+5)
• f^-1(x) = x² - 5

Tags

CCSS.HSF-BF.B.4A

Find the inverse 
f(x)= (x-2)⁵+3

• ⁵√(x-3) +2
• -2+x⁵
• (x+1)⁵+3
• ⁵√(x+2)-3

Tags

CCSS.HSF-BF.B.4A

Here is the domain and range for a function:

D: (-∞, ∞)

R: [3, ∞)

What is the domain and range of the inverse?

• D: [3, ∞)

  R: (-∞, ∞)

• D: (-∞, ∞)

  R: [3, ∞)

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

What is the DOMAIN of the INVERSE function?

• {-7, -2, -1, 1, 4}

• {-6, -3, -2, 0, 3}

• {-3, 0, 2, 3, 6}

• {-4, -1, 1, 2, 7}

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Are the relations inverses?

• yes

• no

Tags

CCSS.HSF.BF.B.4

Which is f^-1(x)?

• f^-1(x)=3∛(x-6)
• f^-1(x)=-6+3∛x
• f^-1(x)=∛(3x-18)
• f^-1(x)=3(x-6)³

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1