Answer:

Step-by-step explanation:
Given

Required
Find 
First, we calculate the inverse function

Express f(x) as y

Swap the positions of x and y

Solve for y: Add 4 to both sides


Square both sides

Divide both sides by 2

Express y as an inverse function

Next, solve for: 
Substitute 6 for x




Here is the solution for the given problem above.
Given: 1 2/5 hour = time it takes to download a movie
5 1/4 hours = total hours for the download
? = number of movies downloaded
First, we need to simplify 1 and 2/5 hour, which is 1.4 hour, and 5 1/4 is 5.25 hours. Next, to get the number of movies downloaded, we divide 5.25 by 1.4 and the result is 3.75. Round this off to a whole number and we get 4. Approximately, you were able to download 4 MOVIES. Hope this helps.
Domain is all the x values (2,-1,4,-3)and range is the y values (0,4,2,0)
Answer:
a)15:6 b)2:3
Step-by-step explanation:
No. of used books=15-9=6
a) 15:6
b)
6:9
2:3
Remark
It looks like all you want is question 6. If that is the case, there are two ways to do it.
Algebra
<u>First answer</u>
abs(b - 22) = 5 Equate to + 5
b - 22 = 5 Add 22 to both sides.
b = 5 + 22
b = 27
<u>Second Answer</u>
Equate to - 5
b - 22 = -5
b = 22 - 5
b = 17
Method Two
<u>Graph the question</u>
The graph y = abs(b - 22) is shown below in red.
The values of y when y =5 are shown in blue.