imo class 12 relations and functions

Let f : R → R and g : R → R be defined by f(x) = |x| and g(x) = [x] (greatest integer function). Then (f∘g)(−2.3) equals:

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Let f : R → R and g : R → R be defined by f(x) = |x| and g(x) = [x] (greatest integer function). Then (f∘g)(−2.3) equals:

  • A. −2
  • B. −3
  • C. 2
  • D. 3

Answer: D) 3

Explanation: g(−2.3) = [−2.3] = −3. f(−3) = |−3| = 3. So (f∘g)(−2.3) = 3.

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