Answer:
The answer is 28/9
Step-by-step explanation:
Step one
Given information
We are given that the function is

And we are expected to find f(6), that is substitute the value of x with 6
Step two:

Answer:
There are 1,892,800,000 different standard plates that are possible in this system
Step-by-step explanation:
The plates follow the following format:
D - D - L - L - L - D - D - D
For each digit there are 10 possible outcomes, and for each letter there are 26 possible outcomes.
So, there are
10*10*26*26*28*10*10*10 = 1,892,800,000
different standard plates that are possible in this system
There are two methods to do this:
1. 2(x + 1) = 38
2*x + 2*1 = 38 (Expand the bracket)
2x + 2 = 38
2x = 36 (Subtract 2 from both sides)
x = 18 (Divide each side by 2)
2. 2(x + 1) = 38
(x + 1) = 19 (Divide each side by 2)
x = 18 (Subtract 1 from each side)