if indeed two functions are inverse of each other, then their composite will render a result of "x", namely, if g(x) is indeed an inverse of f(x), then
![\bf (g\circ f)(x)=x\implies g(~~f(x)~~)=x \\\\\\ \begin{cases} f(x) = 3x\\ g(x)=\cfrac{1}{3}x \end{cases}\qquad \qquad g(~~f(x)~~)=\cfrac{1}{3}[f(x)]\implies g(~~f(x)~~)=\cfrac{1}{3}(3x)](https://tex.z-dn.net/?f=%5Cbf%20%28g%5Ccirc%20f%29%28x%29%3Dx%5Cimplies%20g%28~~f%28x%29~~%29%3Dx%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Bcases%7D%20f%28x%29%20%3D%203x%5C%5C%20g%28x%29%3D%5Ccfrac%7B1%7D%7B3%7Dx%20%5Cend%7Bcases%7D%5Cqquad%20%5Cqquad%20g%28~~f%28x%29~~%29%3D%5Ccfrac%7B1%7D%7B3%7D%5Bf%28x%29%5D%5Cimplies%20g%28~~f%28x%29~~%29%3D%5Ccfrac%7B1%7D%7B3%7D%283x%29)
Answer:
See Explanation
Step-by-step explanation:
Given
Base Dimension


Required
The base area of all containers
First, calculate the base area of 1 container.
This is calculated as:


Express as improper fraction

So, we have:


The number of containers is not given. So, I will use 'n' as the number of containers.
So, we have:


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Assume n is 3 (i.e. 3 containers)
The total area is:



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Assuming your question can be rewritten as:
"What number is 10% greater than 7,962"
7962 * 110% = itself + 10%
= 7962 * 1.10 <----- (1.10 = 110%)
= 8758.2
Answer:
Both sizes are better because they cost Same.
Step-by-step explanation:
Consider the provided information.
A coupon offers $1.00 off the 16
Quantity Price
Pint 16 $3.98
Quart 32 $5.98
If he gets $1 off for the 16-ounce size. The price will be:
3.98-1=2.98
He needs to pay $2.98 for 16-ounce pint.
Now find which one is better by calculating the unit rate.

Therefore, the cost of 1lb would be $0.186
For Quart 32 find the unit rate as shown:

Therefore, the cost of 1lb would be $0.186
Hence, both of the size are better as the unit rate is same.
Being that the system is quadratic—with parabola opening downwards—you’re going to need to find the vertex. You can find the x coordinate of the vertex with -b/2a . Then plug in for x to find the y coordinate…