Applications Of Derivatives Question 418
Question: If f and g are two increasing functions such that fog is defined, then which one of the following is correct ?
Options:
A) Fog is not necessarily an increasing function
B) Fog is not always a decreasing function
C) Fog is neither an increasing nor a decreasing function
D) None of the above
Show Answer
Answer:
Correct Answer: A
Solution:
Product of two increasing functions is not always an increasing function.
$ \therefore $ fog is not always an increasing function