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MMLU-Pro / 8612 / Suppose f is an analytic function defined on {z∈C:IM(z)>0}, the…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

Suppose f is an analytic function defined on {z∈C:IM(z)>0}\{z \in C : IM(z) > 0\}, the upper half plane. Given the information that f(f(z)) = z and f'(z) = 1/z^2 for every z. Find the most general possible expression of f(z). What is f(2)?
Plain-text mathematical notation (without MathML)
Suppose f is an analytic function defined on {z∈C:IM(z)>0}, the upper half plane. Given the information that f(f(z)) = z and f'(z) = 1/z^2 for every z. Find the most general possible expression of f(z). What is f(2)?
Original LaTeX notation
Suppose f is an analytic function defined on $\{z \in C : IM(z) > 0\}$, the upper half plane. Given the information that f(f(z)) = z and f'(z) = 1/z^2 for every z. Find the most general possible expression of f(z). What is f(2)?

category

math

options

  1. 1
  2. -1
  3. 2
  4. 0.5
  5. -i
  6. i
  7. 4
  8. -4
  9. -0.5
  10. -2

src

theoremQA-Math

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Source and history

upstream_id / Original problem ID
8612
task_id
f150d064-935d-5ad9-9f44-63fa5d671204
task_key
default--test--8612
task_revision_id
1
config / split
default / test

Official source

initial import