The answer to your question is 6.
Answer:
He will need to buy 2 six-packs and then 4 single bottles.
Explanation:
2((4)2) = 16 (This is how many he will need to get)
16/6 = 2 packs and 4 leftover
In Problem 13, we see the graph beginning just after x = -2. There's no dot at x = -2, which means that the domain does not include x = -2. Following the graph to the right, we end up at x = 8 and see that the graph does include a dot at this end point. Thus, the domain includes x = 8. More generally, the domain here is (-2, 8]. Note how this domain describes the input values for which we have a graph. (Very important.)
The smallest y-value shown in the graph is -6. There's no upper limit to y. Thus, the range is [-6, infinity).
Problem 14
Notice that the graph does not touch either the x- or the y-axis, but that there is a graph in both quadrants I and II representing this function. Thus, the domain is (-infinity, 0) ∪ (0, infinity).
There is no graph below the x-axis, and the graph does not touch that axis. Therefore, the range is (0, infinity).
If you have double functions, solve the one in the parentheses first.
in f(g(2)), solve g(2) first.
So, substitute 2 in the function.
g(x) = x^2 - 6x - 7
g(2) = 2^2 - 6(2) - 7 = -15
If you substitute -15 in f(g(2)), it becomes f(-15).
f(x) = x + 8
f(-15) = -15 + 8
f(-15) = -7
The answer for f(g(2)) is -7.
