The inverse of this function is f(x) = 
To find the inverse of any function, start by switching the x and f(x) term. Then solve for the new f(x). The result will be the inverse function. The step-by-step process is below for you.
f(x) =
----> Switch the x and f(x)
x =
----> Muliply both sides by 3
3x = -15 + 4f(x) ----> Add 15 to both sides
3x + 15 = 4f(x) ----> Divide both sides by 4.
f(x) = 
Answer: 
Step-by-step explanation:
1. You know that:
- The roped-off area whose width is represented with <em>x,</em> it is created around a rectangular museum.
- The dimensions of the rectangular museum are: 30 ft by 10 ft.
- The combined area of the display and the roped-off area is 800 ft².
2. The area of the rectangular museum can be calculated with:

Where
is the lenght and
is the width.
You have that the lenght and the width in feet are:

3. Let's call
the width of the roped-off area. Then, the combined area is:

Where



4. Substitute values and simplify. Then:


a) Menon has 992 stickers. We can find this by writing an algebraic expression for the number of stickers, with x being the number that Lindsay has. This gives us:
x + 4x = 1240
5x = 1240
x = 248
Now we multiply 248 by 4 to get 992.
b) There are 2 stickers left over. First we have to divide 992 by 6, which gives us 165 as a whole number, but then a remainder of 2. That means that there are two stickers left.
c) Menon needs 4 more stickers, as 6 - 2 = 4, and there are 6 stickers per page.
I hope this helps! Let me know if you have any questions :)