High School What is the process for finding 2y = x + 2 in an inverse function?

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To find the inverse function of the equation 2y = x + 2, each term is multiplied by 2. This results in the transformation of 2 * y to 2y, 2 * (1/2)x to x, and 2 * 1 to 2. The process demonstrates how to manipulate the equation to isolate y effectively. Understanding this multiplication step is crucial for deriving the inverse function. The discussion emphasizes the importance of algebraic manipulation in finding inverse functions.
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Please take a look in below image. How do they get 2y = x + 2?
upload_2016-5-31_16-54-20.png
 
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They simply multiply every term by 2.
2 * y -> 2y
2 * ##\frac12## x -> x
2 * 1 -> 2
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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