Functions and Their Inverses Review

If you are given the domain and range of a function, how does that information relate to the inverse of that function?

• The domain and range become the range and domain for the inverse.

• The domain and range stay the same for both functions.

• Only the domain changes.

• Only the range stays the same.

We know several ways to check if two functions are inverses of each other. Which of the following is NOT a way to check?

• The functions reflect over y=x.

• When using composition functions the answer is equal to x.

• Substitute only one value for x and see if y is the same for both functions.

• The given (x, y) points become (y, x)

What is the inverse of the points
(1,3)(2,4)(6,8)

• (3,1)(4,2)(8,6)

• (-3,-1)(-4,-2)(-8,-6)

• (1,3)(2,4)(6,8)

• (-1,-3)(-2,-4)(-6,-8)

If f^-1(-25) = 7 then what is f(7) = 

• 25

• 7

• No enough information. 

• -25

What is the equation that the inverse will reflect across?

• y = x

• y = 0

• x = 0

• Potato

Which equation is the inverse of the equation above?

• 
• 
• 
• 

Will inverse functions (and their graphs) have the same y-intercept?

• Yes

• No

• Yes, but only if the y-intercept is (0, 0)

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

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

• f(x)

• f^-1(x)

• y

• g^-1(x)

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