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Mathematics 18 Online
OpenStudy (anonymous):

The inverse of a function is a function. A. Never B. Sometimes C. Always

OpenStudy (anonymous):

B. Sometimes

OpenStudy (adilalvi):

never..

OpenStudy (anonymous):

@ninaesb @adilalvi Can you please, give the logic or the proof??

OpenStudy (anonymous):

or at least an example to prove it is never a function, or sometimes, not a function.

OpenStudy (adilalvi):

Now suppose your function is { (1, 2), (2, 1), (3, 4), (5, 1) }. The inverse of this function is { (2, 1), (1, 2), (4, 3), (1, 5) }. This inverse has two points, (1, 2) and (1, 5), that share a common x-value but have different y-values. This means that the inverse is NOT a function.

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