4. ** We saw a bijection B: NU {0} → Z B:NU{0} → Z n if n even B(n) = n+1 if n odd 2 (a) Complete the following function definition: B¹:Z NU{0} B-¹(y) E if y 20 if y < 0 (b) Write the function compositions: Bo B-¹ and B-¹ o B =

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4. ** We saw a bijection B: NU {0} → Z
B:NU{0} → Z
n
if n even
B(n) =
-¹ if n odd
(a) Complete the following function definition:
B¹:Z→NU {0}
if y 20
B-¹(y) =
if y < 0
(b) Write the function compositions: Bo B-¹ and B-¹ o B
NE
Transcribed Image Text:4. ** We saw a bijection B: NU {0} → Z B:NU{0} → Z n if n even B(n) = -¹ if n odd (a) Complete the following function definition: B¹:Z→NU {0} if y 20 B-¹(y) = if y < 0 (b) Write the function compositions: Bo B-¹ and B-¹ o B NE
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