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Question: Answered & Verified by Expert
If $f$ and $g$ are two increasing functions such that $f o g$ is defined, then which one of the following is correct?
MathematicsApplication of DerivativesNDANDA 2010 (Phase 2)
Options:
  • A $f o g$ is always an increasing function
  • B $f o g$ is always a decreasing function
  • C $f o g$ is neither an increasing nor a decreasing function
  • D None of the above
Solution:
1834 Upvotes Verified Answer
The correct answer is: $f o g$ is always an increasing function
Product of two increasing function is always an increasing function. $\therefore f o g$ is always an increasing function

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