Inverse of Functions

Multiple Choice

$$f\left(x\right)=5x+1$$   Find  $$f^{-1}\left(x\right)$$  

• $$\frac{x-5}{1}$$  

• $$\frac{x}{5}-1$$  

• $$x-\frac{1}{5}$$  

• $$\frac{x-1}{5}$$  

Multiple Choice

Was the inverse function found correctly?

• no

• yes

Multiple Choice

Is the following a function?

• Yes, this is a function.

• No, it's not a function.

• Can't be determined with this information.

Multiple Choice

If I know that f(2) = 4, what is another way I can write my answer?

• 2,4

• (2, 4)

• That is the only way to write it.

Multiple Choice

For the function f(x) = -3(x-1) find f(0).

• 0
• -3
• 3
• -1

Multiple Choice

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

• 7
• -2
• -9
• -10

Multiple Choice

What is the inverse of (-2,3)

• (3,-2)

• (2,-3)

• (-3,2)

• (-2,3)

Multiple Choice

The inverse of the function f(x) is written as ...

• f ^-1(x)
• f ²(x)
• f '(x)
• f ⁺(x)

Multiple Choice

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

Multiple Choice

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

• (2,6)(3,1)(4,2)
• (-3,-1)(-4,-2)(-2,-6)
• (1,3)(2,4)(6,2)
• (-1,-3)(-2,-4)(-6,-2)

Multiple Choice

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

• switch the x's and y's

• divide the x's and y's by 2

• make the x's and y's negative

• make the x's and y's the same

Multiple Choice

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)

Multiple Choice

$$f\left(x\right)=3x$$   Find  $$f^{-1}\left(x\right)$$  

• $$\frac{x}{3}$$  

• $$\frac{3}{x}$$  

• $$0.3x$$  

• $$x\times3$$  

Multiple Choice

What are the inverse points for the coordinates:

(3, 0) , (2, -4), (5, 5) and (-6,8)

• (3,0) , (2, -4) , (5,5) , (6,8)

• (0,3) , (-4,2) , (5,5) , (8,-6)

• (3,2), (0, -4), (5, -6), (5,8)

Multiple Choice

Factor:
x² + 7x - 30

• (x + 10)(x - 7)
• (x - 10)(x + 3)
• (x + 10)(x + 3)
• (x + 10)(x - 3)

Multiple Choice

Factor:x² - 25

• ( x + 5 ) ( x - 5 ) 
• ( x - 5 ) ( x - 5 ) 
• ( x + 5 ) ( x + 5 ) 
• Prime

Multiple Choice

Factor:
2x² + 13x + 15

• (2x + 1)(x + 15)
• (x + 3)(x + 5)
• (2x - 3)(x - 5)
• (2x + 3)(x + 5)

Multiple Choice

Given f(x) =
2x² + 5x - 17, find f(-1). 

• f(-1) = -20
• f(-1) = -24

Multiple Choice

What is f(1)?

• 1
• 5
• 0
• 4

Multiple Choice

What is f(8)? 

• 8
• 0
• 3
• -2

Multiple Choice

Is this a function? 

• Yes 
• No

Multiple Choice

Which of the following relations is a one-to-one function?

• {(1,2), (1,4), (1,5), (1,6)}

• {(4,-5), (3,-5), (2,8), (1,8)}

• {(-3,-2), (3,4), (-1,-2), (-1,5)}

• {(10,9), (8,7), (6,5), (4,3)}

Multiple Choice

Determine which function is one-to-one?

Multiple Choice

Determine which function is NOT one-to-one