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Calculus I quizzes

How limits and derivatives describe change, from the slope of a curve to the speed of a moving object.

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From Calculus I: How Instant Speed Became Measurable

If f(x) = x + 1 and g(x) = 2x, what is f(g(3))?

  1. 8
  2. 7
  3. 6
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Answer: 7

Work from the inside out: g(3) = 6, then f(6) = 7. Doing f first, g(f(3)), would give 8, which shows composition order matters.

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