Function Inverses Algebraically

Tags

CCSS.HSF-BF.B.4A

Find the inverse: f(x) = x³-1

• f^-1(x)= ³√(x+1)

• f^-1(x)= ³√x-1

• f^-1(x)= (x-1)/3

• f^-1(x)= (x+1)/3

Tags

CCSS.HSF-BF.B.4A

Find the inverse of f(x) = 3x +8

• f^-1(x) = 3(x-8)
• f^-1(x) = (8x-1)/3
• f^-1(x) = (x-8)/3
• f^-1(x) = (x+8)/3

Tags

CCSS.HSF-BF.B.4A

Was the inverse function found correctly?

• no,
• yes

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

Find the inverse of
f(x) = 1/4x - 7

• f^-1(x) = 4x + 7
• f^-1(x) = -4x + 28
• f^-1(x) = -4x - 7
• f^-1(x) = 4x + 28

Tags

CCSS.HSF-BF.B.4A

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.

• You find the inverse by switching x and y in the equation.

• The domain of a function always becomes the domain of its inverse.

• The domain of a function always becomes the range of its inverse.

Tags

CCSS.HSF-BF.B.4A

Which is f ^-1(x)?

• f ^-1(x) = 3x + 5

• f ^-1(x) = 3x - 5

• f ^-1(x) = 3x - 15

• f ^-1(x) = 3x + 15

Tags

CCSS.HSF-BF.B.4A

Find the inverse

• f^-1(x) = 2x+16

• f^-1(x) = 2x-16

• f^-1(x) = 2x - 8

• f^-1(x) = x + 16

Tags

CCSS.HSF-BF.B.4A

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