Inverses of Functions

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.4

Find the inverse of f(x) = -4x - 12.

• $f^{-1}\left(x\right)=4x-3$
  

• $f^{-1}\left(x\right)=-\frac{1}{4}x-3$

• $f^{-1}\left(x\right)=\frac{1}{4}x+3$

• $f^{-1}\left(x\right)=-4x-3$

What is the first step in solving for the inverse of a function?

• Solve for Y

• Switch X and Y

• Use Sigma Notation

• Plug in a point

What type of function would model the inverse of an exponential function?

• Linear

• Square Root

• Logarithmic

• Exponential

What type of function would model the inverse of a quadratic function?

• Quadratic

• Exponential

• Linear

• Square Root

• $9-\sqrt{17}$

• 4

• 2

• $\sqrt{8}$

f(x) = {(3, 7), (4, -2), (5, -1), (8, 7)}
Is f^-1(x) a function?

• Yes
• No
• No way to tell

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

What is the inverse of the following relation:

{(1, 3), (2, 4), (6, 8)}?

• {(3, 1), (4, 2), (8, 6)}

• {(-3, -1), (-4, -2), (-8, -6)}

• {(1, 3), (2, 4), (6, 8)}

• (-1, -3), (-2, -4), (-6, -8)}

Restricting the domain is another way to say restricting the...

• y-values

• x-values

• Odd numbers

• Even numbers

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

A function has an inverse function if...

• It passes the Vertical Line Test

• It fails the Horizontal Line Test

• It passes the Horizontal Line Test

• It fails the Vertical Line Test

Tags

CCSS.HSF.BF.B.4

CCSS.HSF.IF.A.1

CCSS.HSF.TF.B.6