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Please help ill give you lots of points

Please help ill give you lots of points-example-1
User TimSch
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1 Answer

5 votes

Answer:

-1/2

Explanation:

To find p^6(-1/2), we need to repeatedly apply the function p(x) to the value -1/2 six times:

p(x) = 1 - 1/x

p(-1/2) = 1 - 1/(-1/2) = 1 - (-2) = 3

p(p(-1/2)) = p(3) = 1 - 1/3 = 2/3

p(p(p(-1/2))) = p(2/3) = 1 - 3/2 = -1/2

p(p(p(p(-1/2)))) = p(-1/2) = 3

p(p(p(p(p(-1/2))))) = p(3) = 1 - 1/3 = 2/3

p(p(p(p(p(p(-1/2)))))) = p(2/3) = 1 - 3/2 = -1/2

Therefore, p^6(-1/2) = -1/2.

User Alexander Fedyukov
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