Inverse functions and relations

Inverse functions and relations

3-4

Multiple Choice

Are the relations inverses?

• yes

• no

Multiple Choice

Are the relations inverses?

• yes

• no

Multiple Choice

Find the inverse of $f\left(x\right)=x^2-5$  

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

•  $f^{-1}\left(x\right)=\sqrt{x-5}$  

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

•  $f^{-1}\left(x\right)=x^2+5$  
  

Multiple Choice

Find the inverse of   $f\left(x\right)=\frac{1}{4}x-7$  

• f^-1(x) = 4x + 7

• f^-1(x) = -4x + 28

• f^-1(x) = -4x - 7

• f^-1(x) = 4x + 28

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

Are the graphs inverses?

• yes

• no

Multiple Choice

Are the graphs inverses?

• yes

• no

Multiple Choice

Are the graphs inverses?

• yes

• no

Multiple Choice

Will the inverse of this function be a function?

• Yes
• No
• No way to tell

Multiple Choice

Will the inverse of this function, be a function?

• No
• Yes
• No way to tell

Multiple Choice

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, ∞)

Multiple Choice

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

Multiple Choice

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)

Multiple Choice

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