Inverse of a Function

When finding the inverse,

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

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composing

Tags

CCSS.HSF-BF.B.4B

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

If f(x)=x+5, what is f^-1(x)?

• (x + 5)²

• x - 5

• (x + 5)^-1

• undefined

Tags

CCSS.HSF.BF.B.4

If f(x)=3x, what is f^-1(x)?

• x/3

• 3x²

• 3x + 3x

• 3x^-1

Tags

CCSS.HSF.BF.B.4

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

Tags

CCSS.HSF.BF.B.4

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

• Inverse Functions

• Not Inverse Functions

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

• A

• B

• C

• D

Tags

CCSS.HSF.BF.B.4

Find the inverse of f(x) = x² - 5

• f^-1(x) = x² - 5

Tags

CCSS.HSF-BF.B.4A