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MMLU-Pro / 8597 / If the point (3,6) is on the graph of y=g(x), and h(x)=(g(x))² for all…

Problem

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

question

If the point (3,6)(3,6) is on the graph of y=g(x)y=g(x), and h(x)=(g(x))2h(x)=(g(x))^2 for all xx, then there is one point that must be on the graph of y=h(x)y=h(x). What is the sum of the coordinates of that point?
Plain-text mathematical notation (without MathML)
If the point (3,6) is on the graph of y=g(x), and h(x)=(g(x))² for all x, then there is one point that must be on the graph of y=h(x). What is the sum of the coordinates of that point?
Original LaTeX notation
If the point $(3,6)$ is on the graph of $y=g(x)$, and $h(x)=(g(x))^2$ for all $x$, then there is one point that must be on the graph of $y=h(x)$. What is the sum of the coordinates of that point?

category

math

options

  1. 9
  2. 27
  3. 39
  4. 36
  5. 45
  6. 18
  7. 13
  8. 15
  9. 21
  10. 12

src

ori_mmlu-high_school_mathematics

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Source and history

upstream_id / Original problem ID
8597
task_id
c5c6066c-b09f-5c3f-825b-90c3b8883e62
task_key
default--test--8597
task_revision_id
1
config / split
default / test

Official source

initial import