C5 : FUNCTIONS & GRAPHS L4 (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

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

If f^-1(-25) = 7 then what is f(7) = 

• 25
• 7
• No enough information. 
• -25

Tags

CCSS.HSF-BF.B.4C

If the domain of f(x) is x ≥ 4, then the ____ of ____ is  y ≥ 4

• domain, f^-1(x)
• range, f(x)
• range, f^-1(x)
• domain, f(x)

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

In an inverse function, the _____ and _______ are switched from the original

• f(x) and g(x)
• input and output
• positives and negatives
• slope and intercept

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

Select the two functions which are inverses of each other:

• $x+10$

• $x-10$

• $\frac{x}{10}$

• $\frac{10}{x}$

Tags

CCSS.HSF.BF.B.4

 $f\left(x\right)=\frac{3x+10}{7}$  
Find  $f^{-1}\left(x\right)$  

•  $7x-\frac{10}{3}$  

•  $\frac{7x}{3}-10$  

•  $\frac{7\left(x-10\right)}{3}$  

•  $\frac{7x-10}{3}$  

Tags

CCSS.HSF.BF.B.4

Which of the following is NOT TRUE about inverse functions?

• Inverse functions are reflections of each other over the line y = x.

• You find the inverse by switching x and y in the equation.

• The domain of a function always becomes the domain of its inverse.

• The domain of a function always becomes the range of its inverse.

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

What's the best description?

• They are both functions, but not inverse functions.

• They are reflected over y=x, but they are not both functions.

• They are not reflected over y=x, and they are not both functions.

• They are inverse functions.

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.9