Inverse Functions Practice Period 6

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.4A

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

• x/3

• 3x²

• 3x + 3x

• 3x^-1

Tags

CCSS.HSF-BF.B.4A

What does an inverse function do?

• Nothing

• Makes it bigger

• Does the opposite of the original function

Tags

CCSS.HSF-BF.B.4C

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)

Tags

CCSS.HSF-BF.B.4C

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

Are the following inverses of each other?

• True
• False

Tags

CCSS.HSF-BF.B.4B

Which is f ^-1(x)?

• f ^-1(x) = 5x + 3

• f ^-1(x) = 5x - 3

• f ^-1(x) = 5x - 15

• f ^-1(x) = 1/5(x) + 3/5

Tags

CCSS.HSF-BF.B.4A

How must the domain of f(x) be restricted such that g(x)=f^-1(x) ?

• x ≤ 0

• x ≥ 0

• x ≤ 3

• x ≥ 3

Tags

CCSS.HSF-BF.B.4D

 $g\left(x\right)=\frac{1}{3}x$  
Find  $g^{-1}\left(x\right)$  

•  $\frac{3}{x}$  

•  $3x$  

•  $\frac{x}{3}$  

•  $x\div3$  

Tags

CCSS.HSF-BF.B.4A