*18. If f: AB is 1-1 and im f (fof ¹) (b) = b for each b E B. = B, prove that (ff)(a) =a for all a EA and

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*18. If ƒ: A → B is 1-1 and im f = B, prove that (f¹f)(a) = a for all a E A and
(fof ¹) (b) = b for each b E B.
0.3 MATHEMATICAL INDUCTION AND RECURSION
n(n + 1)
2
19. Prove that for all n EJ, 1 + 2 + + n =
he
W S
Transcribed Image Text:*18. If ƒ: A → B is 1-1 and im f = B, prove that (f¹f)(a) = a for all a E A and (fof ¹) (b) = b for each b E B. 0.3 MATHEMATICAL INDUCTION AND RECURSION n(n + 1) 2 19. Prove that for all n EJ, 1 + 2 + + n = he W S
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