Asked by Lynn
Explain why an even function does not have an inverse that is a function.
and if log b < 0, what can you say about b?
and if log b < 0, what can you say about b?
Answers
Answered by
Reiny
recall that the inverse of a function results in a reflection in the line y = x
Any even function has a reflection in a vertical line, usually the y-axis
Thus its inverse would result in a reflection in a horizontal line.
Thus a vertical line test, (a test if the relation is a function) , would fail .
Any even function has a reflection in a vertical line, usually the y-axis
Thus its inverse would result in a reflection in a horizontal line.
Thus a vertical line test, (a test if the relation is a function) , would fail .
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