Answer:
Only option B is correct, i.e. all real values of x except x = 2.
Step-by-step explanation:
Given the functions are C(x) = 5/(x-2) and D(x) = (x+3)
Finding (C·D)(x) :-
(C·D)(x) = C(x) * D(x)
(C·D)(x) = 5/(x-2) * (x+3)
(C·D)(x) = 5(x+3) / (x-2)
(C·D)(x) = (5x+15) / (x-2)
Let y(x) = (C·D)(x) = (5x+15) / (x-2)
According to definition of functions, the rational functions are defined for all Real values except the one at which denominator is zero.
It means domain will be all Real values except (x-2)≠0 or x≠2.
Hence, only option B is correct, i.e. all real values of x except x = 2.
Answer:
A. y = $800 + $1.50x
B. The cost to run the company each month = y
C. The initial cost ($800) plus the cost of each t-shirt ($1.50) and the number of t-shirts (x)
Step-by-step explanation:
I hope this helps :)
So you have to subtract 115 from 15. Then you divide that number by 5 for each relative. That should give you your answer....$20
Convert all the improper fractions into mixed numbers, then simplify. Then, you do the operations.