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First, we are going to find the inverse function of 
by replacing with 
, and then, interchanging 
and and solving for :
Next we are going to evaluate our inverse function at
:
We can conclude that the inverse function of
when is 
Next we are going to evaluate our inverse function at
We can conclude that the inverse function of
The total volume of the pool is 1040 cubic ft. The correct answer is option B.
The complete question is given below:-
The community centre has an L-shaped swimming pool that is 10 feet deep. What is the volume of the pool
1200
1040
640
880
<h3>What is volume?</h3>Volume is defined as the space covered by any solid body in the three-dimensional plane.
We know that the total volume of the pool is the sum of the volume of two rectangular prisms.
One is a rectangular prism with dimensions 20ft.×10ft.×4ft.
and the other rectangular prism has dimensions: 6ft.×4ft.×10ft.
Hence, the volume of a first rectangular prism is:
20×10×4=800 cubic ft.
The volume of a second rectangular prism is:
6×4×10=240 cubic ft.
Hence, the total volume of the pool is:
800+240=1040 cubic ft.
Therefore the total volume of the pool is 1040 cubic ft. The correct answer is option B.
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