Inverse Functions

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.4A

Are the following inverses of each other?

• True
• False

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

When finding the inverse of a relation, 
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

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

Tags

CCSS.HSF-BF.B.4A

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

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

What is the inverse of y = 2x?

• 2y

• 0.5x

• x²

What operation allows us to verify if functions are inverses?

• Multiplying

• Dividing

• Adding

• Composing

Tags

CCSS.HSF-BF.B.4B

What does an inverse function do?

• Nothing

• Makes it bigger

• Does the opposite of the original function

Tags

CCSS.HSF-BF.B.4C

Are f(x) = x + 3 and g(x) = x-3 inverses?

• Yes

• No