Inverse Functions

What is the meaning of the function notation  $f^{-1}$  ?

• the function is raised to -1

• the opposite of the function

• the inverse of the given function

• the two functions are to be subtracted

Tags

CCSS.HSF-BF.B.4A

Which is the inverse of the set of ordered pairs {(1,-2),(-4,6,),(-1,-7),(8,0)}?

• {(-2,1),(6,-4),(-7,-1),(0,8)}

• {(1,-2),(-4,6),(-7,-1),(8,0)}

• {(-2,1),(6,-4),(-1,-7),(8,0)}

• {(1,-2),(-4,6),(-1,-7),(8,0)}

What is the inverse of  $f\left(x\right)=3x+5$  ?

•  $y=\frac{x+3}{5}$  

•  $y=\frac{x-5}{3}$  

•  $y=3x-5$  

•  $y=5x-3$  

Is  $g\left(x\right)=4x+8$  the inverse of  $f\left(x\right)=\frac{x}{4}+2$  ?

• Yes

• No

• Maybe

• Cannot be determined

Which pair of functions is inverses of each other?

• $y=\frac{4}{3}x+1,\ y=\frac{3\left(x+1\right)}{4}$

• $y=\sqrt{x+2},\ y=2x-1$

• $y=\left(x+1\right)^3,\ y=3x-1$

• $y=3x+2,\ y=\frac{x-2}{3}$

Tags

CCSS.HSF-BF.B.4B

Is the inverse of the relation pairing a student to his or her LRN a function?

• Yes

• No

• Maybe

• Cannot be determined

A function has an inverse if and only if it is one-to-one.

• True

• False

Which of the following situations is NOT one-to-one?

• vehicle to plate number

• movie ticket to seat number

• polygamous relationship

• religious affiliation

Which of the following shows the inverse of the function shown in the graph?

• 
• 
• 
• 

Tags

CCSS.HSF-BF.B.4C

Which pair is NOT inverses of each other?

• Celsius and Fahrenheit

• Addition and Subtraction

• Sine and Cosecant

•  $a=b\times c\ and\ \ c=\ \frac{a}{b};\ b\ne0$