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 always an increasing function

B) Fog is 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:

[a] Product of two increasing function is always an increasing function.

$ \therefore $ fog is always an increasing function