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HOW TO FIND AN INVERTIBLE OF A GIVEN FUNCTION |
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) }. |