Match the following figure
1 answer:
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Answer:
If the pool is 2/3 filled and then the inlet pipe and drain pipe are opened, it will take 140 hours to fill the pool
Step-by-step explanation:
An inlet pipe can fill the pool in hours = 20
Inlet pipe 1 hour work =
A drain pipe can empty the pool in 21 hours
Drain pipe 1 hour work =
Inlet pipe and drain pipe 1 hour together work =
Now we are given that the pool is 2/3 filled
So, remaining portion to be filled =
So, Inlet pipe and drain pipe fill in hours = 1
So, they can fill 1/3 in hours =
Hence If the pool is 2/3 filled and then the inlet pipe and drain pipe are opened, it will take 140 hours to fill the pool
The inverse of this function would be f(x) = .
You can find the value of any inverse function by switching the f(x) and the x value. Then you can solve for the new f(x) value. The end result will be your new inverse function. The step-by-step process is below.
f(x) = - 1 ----> Switch f(x) and x
x = - 1 ----> Add 1 to both sides
x + 1 = -----> Take the logarithm of both sides in order to get the f(x) out of the exponent
Log(x + 1) = f(x)Log3 ----> Now divide both sides by Log3
= f(x) ----> And switch the order for formatting purposes.
f(x) =
And that would be your new inverse function.