Inverse functions and intercepts
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True or false. Determine whether the statement is true or false. If false, explain why and give an example that shows its false.
1) If the inverse function of f exists, then the y-intercept of f is an x-intercept of f^-1 (f inverse).
2) There exists no function f such that f = f^-1 (f inverse)
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Solution Summary
This solution is comprised of a detailed explanation to determine whether the statement is true or false.
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(1) True.
Since the inverse function of f exists, then the graph of f and f^(-1) are symmetric with respect to the line y=x. That is, if ...
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