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5. Determine whether or not the following functions from real numbers to real numbers are bijections....

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Programming

5. Determine whether or not the following functions from realnumbers to real numbers are bijections. If they are bijections,then find the inverse. If they are not bijections, then explain whynot.
(a) f(x) = [2x]
(b) f(x) = −7x
(c) f(x) = 7x 3 – 5
(d) f(x) = x 2 − 5

Answer & Explanation Solved by verified expert
4.1 Ratings (611 Votes)
For a function to be a bijection it should beoneone as well as ontoFor finding out the inverse we first find x in terms of y andthe replace y with x and x with ya meansgreatest integer functionSo here for many values    See Answer
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