Multiplication because you undo it
Answer: He needs a minimum of 2011.25 hours
Step-by-step explanation:
In order for Gavin to get his private pilot certificate he must fly solo.
He must fly a minimum of 2020 hours with his plane instructor before he can fly solo.
He has already flown 8 3/4 hours with his instructor. This is express as 8hours + (3/4 × 1) = 8.75 hours
To determine how many more flying hours that he needs before he can fly solo, we will subtract the number of hours that he had flown from the the minimum of 2020 hours . it becomes
2020 - 8.75 = 2011.25.
He needs a minimum of 2011.25 hours
The percentage rate of increase is 36.2% and the exponential function represent the growth.
<h3>What is an exponential function?</h3>
It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent 
where 'a' is a constant and a>1
We have exponential function:

If we compare with

If 1+r > 1
1.362 > 1
So the growth rate r is
1 + r = 1.362
r = 0.362
r = 0.362×100
r = 36.2%
Thus, the percentage rate of increase is 36.2% and the exponential function represent the growth.
Learn more about the exponential function here:
brainly.com/question/11487261
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If you have 2 functions, f(x) and g(x), you would find f(g(x)) and g(f(x)). If, after you simplify both and you end up with just "x" as the answer, they are inverses of each other. For example, f(x) = 3x - 2 and g(x) = (x+2)/3
f(g(x)) takes the g function and plugs it into the x in the f function, like this:
![f(g(x))=3[ \frac{(x+2)}{3} ]-2](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D3%5B%20%5Cfrac%7B%28x%2B2%29%7D%7B3%7D%20%5D-2%20)
cancel out the 3's to get
f(g(x))=(x+2)-2 which is just x. Now do it the other way: g(f(x))
![g(f(x))= \frac{[(3x-2)+2]}{3}](https://tex.z-dn.net/?f=g%28f%28x%29%29%3D%20%5Cfrac%7B%5B%283x-2%29%2B2%5D%7D%7B3%7D%20)
3x-2+2 is 3x, so we have

See?