Finding the inverse of function

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

Tags

CCSS.HSF-BF.B.4A

Find the inverse of  $f\left(x\right)=3x+2$  

•  $f^{-1}\left(x\right)=\frac{x-2}{3}$  

•  $f^{-1}\left(x\right)=\frac{x-3}{2}$  

•  $f^{-1}\left(x\right)=\frac{3x}{2}$  

•  $f^{-1}\left(x\right)=\frac{2+x}{3}$  

Tags

CCSS.HSF-BF.B.4A

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

•  $f^{-1}\left(x\right)=x-25$  

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

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

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

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

What is the inverse of the function
f(x) = 2x + 4   ?

• f^-1(x) = 4(x -2)
• f^-1(x) = (x-4)/2
• f^-1(x) = x/2 - 4
• f^-1(x) = x/4 + 2

Tags

CCSS.HSF-BF.B.4A

What is the inverse of the function f(x) = 2x-5

• f⁻¹(x) = ½x+5
• f⁻¹(x) = ½x+⁵/₂
• f⁻¹(x) = x+⁵/₂
• f⁻¹(x) = ½x-⁵/₂

Tags

CCSS.HSF-BF.B.4A

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)

Tags

CCSS.HSF-BF.B.4C

What is the inverse of the function f(x)=4-2x

• f⁻¹(x) = 2x-½
• f⁻¹(x) = 2x+½
• f⁻¹(x) = 2+½x
• f⁻¹(x) = 2-½x

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

Are the following inverses of each other?

• True
• False

Tags

CCSS.HSF-BF.B.4B