Answer:
b. n
d. 2^lgn
c. n^2.1
a. 4^2lgn
Step-by-step explanation:
Logarithm is a function of mathematics which is used to calculate inverse function of exponents. The asymptotically smallest function will be the one that has smallest or no exponents. The exponent function is calculated in reverse when log is applied. The function with highest exponents will be largest asymptotically.
Given the recursive formula, each terms is five time the previous one.
This means that:
is 5 times
, which means 
- in turn,
is 5 times
, so we have
. This means that 
- Finally,
So, substituting this back gives

In general, since you have
, each time you compute a new term you multiply by a factor of 5, so if
, you have

Answer:
Yes, (-3, -9) is a solution.
Step-by-step explanation:
y = 3x (-3,-9)
-9 = 3(-3)
-9 = -9