Inverse functions

Find the inverse 
f(x)=2x-2
     

• f^-1(x)=1/2x+1
• f^-1(x)=-2-1/2x
• f^-1(x)=-7/3x-20/3
• 2-2/5x

Tags

CCSS.HSF-BF.B.4A

If the equation of f(x) goes through (1, 4) and (4, 6), what points does f^-1(x) go through?

• (1, 4) and (4, 6)
• (-4, -1) and (-6, -4)
• (-1, -4) and (-4, -6)
• (4, 1) and (6, 4)

Tags

CCSS.HSF-BF.B.4C

The inverse has been reflected over which line?

• y = x
• y =1
• y = 0
• y = x + 1

Tags

CCSS.HSF-BF.B.4B

When finding the inverse of a relation, 
1st you replace f(x) with y
2nd switch the x's and y's
What do you do next?

• solve for y
• replace y with f^-1(x)
• solve for x
• find the greatest common factor

Tags

CCSS.HSF-BF.B.4A

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

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.4

CCSS.HSF.IF.A.1

What's the best description?

• They are both functions, but not inverse functions.

• They are reflected over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

• They are inverse functions.

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.9

What's the best description?

• They are both functions, but not inverse functions.

• They are reflected over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

• They are inverse functions.

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9

f(x) = -4x - 12

What is f^-1(x)?

• 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

Which graph represents the functions f(x) and f^-1(x)?

• 
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• 
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Tags

CCSS.HSF-BF.B.4C