Answer:
Pool A.
Step-by-step explanation:
This can be solved through ratios. You would write it as
So,
for the first one, and
for the second. You might want to use a calculator for that part, but you could also change the gallons to cups, which gives you a much better number of 10.515. So,
, and
So, pool A is at a faster rate. If you want it in gallons per minute, it's by 0.01 (with the 1 repeating) gallons per minute. By cups, it's 0.17525 cups per minute.
(The reason I did not do this by cross multiplying and dividing ratios is because it gives you the exact same answer if you are finding it per one, as I am here with per one minute. You can do it this way, it just wastes a bit of time.)
Answer: The shirt originally cost 125 dollars.
Step-by-step explanation: The shirt on sale is 25% off. So first multiply 25 by 5 and you get 125. So 125 is the originall price. Her final cost is 25 dollars. Last step: 125 divided by 5 equals 25 dollars.
The answer is: 
The inverse of a function
is another function,
, with the following property:

In other words, the inverse of a function does exactly "the opposite" of what the original function does, and so if you compute them both in sequence you return to the starting point.
Think for example to a function that doubles the input,
, and one that halves it:
. Their composition is clearly the identity function
, since you consider "twice the half of something", or "half the double of something".
In general, to invert a function
, you have to solve the expression for
, writing an expression like
. If you manage to do so, then
is the inverse of
.
In your case, you have

Multiply both sides by
to get

Square both sides to get

Finally, subtract 3 from both sides to get

Since the name of the variables doesn't really have a meaning, you can say that the inverse function is

As for the domain of the inverse function, remember what we said ad the beginning: if the original function goes from set A (domain) to set B (codomain), then the inverse function goes from set B (domain) to set A (codomain). This means that the inverse function is defined on an element in B if and only if that element belongs to the range of the original function, i.e. the set of the elements of the codomain
such that there exists
. So, we need the range of
.
We know that the range of
is
. When you transform it to
you simply translate the graph horizontally, so the range doesn't change. But when you multiply the function times
you affect both extrema of the range, turning it into
, which you can simply write as 
Function and its inverse was graphed.
<u>Step-by-step explanation:</u>
y = -4x²- 2
To find the inverse function of y = -4x²- 2 we have to transform the formula to calculate x in terms of y.
y = -4x²- 2
-4x² = y - 2
x = √(y-2) / -4
Now we can change the letters to follow the convention that x is the independent variable and y is the function's value:
y = √(x-2) / -4
Now we have to draw the graph as,
It was side by side that is LHS is the function and the RHS is its inverse.
Wouldn't the formula be a×b/2?