The answers to exercise marked [BB] can he found in the Back of the Book.
Let t: R → R be the function defined by t(x) = 2 [x] − x.
(a) Graph t and use this to decide whether t has an inverse.
(b) [BB] Prove that t is one-to-one without using the graph of t.
(c) Prove that t is onto without using the graph of t.
(d) Find a formula for t−1(x).
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