Question: As a mental arithmetic exercise, a teacher asked her students to think of a number, triple it, and subtract the resulting number from 24. Finally,

  1. As a mental arithmetic exercise, a teacher asked her students to think of a number, triple it, and subtract the resulting number from 24. Finally, they were asked to multiply the resulting difference by the number they first thought of.

PLEASE, detail and explanation

a) Use function notation to express the final answer in terms of the original number.

b) Determine the result of choosing numbers 3, and 10.

c) Determine the maximum result possible.

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