@hemant
Thanks, but according to above comments and yours too, in conclusion, we have if h f and g are independent functions, there can be infinite possiblities.
Correct me if i am wrong.
But wouldnt we consider that f(n) is defined, and that its lower bound can be equated to asymptotic linear value ? (Omega (n))
And similarly for g (n) we have a upper bound of O(n).
Meaning fn is some function which gives a value greater than n but can be lower bounded to n.
And gn is some function which gives a value less than n, but can be upper bounded to n.
So why are we considering quadratic and exponential functions ?