Rational functions of the form
f(x)= polynomial in x / another polynomial in x
See example plot attached.
Member Price = 30 + 3x
Non-member Price = 6x
x = the tickets they buy.
We want 30 + 3x = 6x
So, first we subtract 3x from each side and are left with:
30 = 3x
Then, divide each side by 3.
10 = x
So, the cost of 10 tickets is the same more non-members and members.
We can also check it:
Member Price: 30 + 3(10)
30 + 30 = 60
Non-member Price: 6(10)
60
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.
D. 1/3
A cube root can be written as an exponent: 1/3
![\sqrt[3]{x} = x^{\frac{1}{3} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%20%3D%20x%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D)
