Inverse Functions

Inverse Functions

Multiple Choice

Find the inverse of the given function:

 $𝑓(𝑥)=\frac{x+6}{5}$  

•  $f^{-1}\left(x\right)=5x-6$  

•  $f^{-1}\left(x\right)=6x-5$  

•  $f^{-1}\left(x\right)=5x+6$  

•  $f^{-1}\left(x\right)=6x+5$  

Multiple Choice

Find the inverse of the given function:

 $f\left(x\right)=\frac{2x-4}{9}$  

•  $f^{-1}\left(x\right)=18x+8$  

•  $f^{-1}\left(x\right)=\frac{9x-4}{2}$  

•  $f^{-1}\left(x\right)=\frac{9x+4}{2}$  

•  $f^{-1}\left(x\right)=18x-8$  

Multiple Choice

Find the inverse of the given function:

 $𝑓(𝑥)=2𝑥−3$  

•  $f^{-1}\left(x\right)=\frac{x+3}{2}$  

•  $f^{-1}\left(x\right)=\frac{x-3}{2}$  

•  $f^{-1}\left(x\right)=2x-6$  

•  $f^{-1}\left(x\right)=2x+6$  

Multiple Choice

The length of a rectangular garden is three times as long as its width. ​

Write a function that shows the area of the garden as a function of its width​.

Which of the following is the correct representation of variables?

• x = area of the garden
  

  
  y = width

• x = width
  
  y = area of the garden

Multiple Choice

The length of a rectangular garden is three times as long as its width. ​

•Write a function that shows the width of the garden as a function of its area.

Which of the following is the correct representation of variables?

• x = area of the garden
  

  
  y = width

• x = width
  
  y = area of the garden

Multiple Choice

A pair of surgical gloves is sold at Php 15.00 per item. 

Write a function that shows the total revenue as a function of the number of items sold.

Which of the following is the correct representation of variables?

• x = number of items sold
  

  
  y = total revenue

• x = total revenue
  
  y = number of items sold

Multiple Choice

A pair of surgical gloves is sold at Php 15.00 per item. 

Write a function that shows the number of items sold  as a function of the total revenue.

Which of the following is the correct representation of variables?

• x = number of items sold
  

  
  y = total revenue

• x = total revenue
  
  y = number of items sold

Multiple Choice

Two ships leave a port at the same time. Ship A sails 10 mi/h and Ship B sails 15 mi/h. The two ships travel in opposite directions. 
Write a function that shows the distance (in miles) between the two ships as a function of the time (in hours) elapsed.​

Which of the following is the correct representation of variables?

• x = distance
  

  
  y = time elapsed

• x = time elapsed
  
  y = distance

Multiple Choice

Two ships leave a port at the same time. Ship A sails 10 mi/h and Ship B sails 15 mi/h. The two ships travel in opposite directions. 
Write a function that shows the time (in hours) elapsed as a function of the distance (in miles) of the two ships.

Which of the following is the correct representation of variables?

• x = distance
  

  
  y = time elapsed

• x = time elapsed
  
  y = distance