Question 4938: Determine whether the given function is invertible. If it is invertible, then find its inverse. {(13,0),(10,9),(9,10)}
Answer by rapaljer(4671)   (Show Source):
You can put this solution on YOUR website! The inverse of a function simply means to interchange the x and the y. In this case, instead of { (12,0), (10,9), (9, 10) } interchange the x and y to get { (0, 12), (9, 10), (10, 9) }, and ask yourself, "Is this a function?" In other words, does each x value have a unique y value, or is there some value of x for which there are two y values? In this case, each x value has a unique y value, so this inverse IS a function.
By thw way, an example that is NOT a function would be like { (0, 12) (0, 10), (4, 2) }
In summary, the inverse is { (0, 12), (9, 10), (10, 9) }.
R^2 at SCC
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