Answer:
b = {0, 1, 2, 3, 4, 5}
Step-by-step explanation:
The domain of a function is simply all the possible values the independent variable can assume that the function will work and will give a real number.
In this question, we have:
m = 45 – 8b
b is the independent variable because the money, m, depends on the number of books, b, bought.
Since we can't have negative value for m as it represents an amount of money, then the values b can assume can be gotten through:
45 – 8b = 0,
8b = 45
b = 45/8 = 5.625
For the m, money, to remain positive b shouldn't go beyond 5.625
Also we should note that b, books, can't be a negative (no such thing as negative books) or a fractional value (no such thing as buying parts of a book) as well. Therefore, b = {0, 1, 2, 3, 4, 5}
