Question:

Let 𝑓, π‘”βˆΆβ„ β†’ ℝ be defined by
𝑓(π‘₯)={ π‘₯+2, 2π‘₯+1, π‘₯≀1 π‘₯>1  and 𝑔(π‘₯) = { 2π‘₯, π‘₯ + 2, π‘₯ ≀ 2 π‘₯ > 2.
Then

Updated On: Oct 1, 2024
  • 𝑓 is convex and 𝑔 is concave
  • 𝑓 is concave and 𝑔 is convex
  • both 𝑓 and 𝑔 are concave
  • both 𝑓 and 𝑔 are convex
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The Correct Option is A

Solution and Explanation

The correct option is (A): 𝑓 is convex and 𝑔 is concave
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