There is some ambiguity here which could be removed by using parentheses. I'm going to assume that you actually meant:
x-3
h(x) = ---------------
(x^3-36x)
To determine the domain of this function, factor the denominator:
x^3 - 36x = x(x^2 - 36) = x(x-6)(x+6)
The given function h(x) is undefined when the denominator = 0, which happens at {-6, 0, 6}.
Thus, the domain is "the set of all real numbers not equal to -6, 0 or 6."
Symbolically, the domain is (-infinity, -6) ∪ (-6, 0) ∪ (0, 6) ∪ (6, +infinity).
Answer:
B) Vertex (1,2), maximum
Step-by-step explanation:
First, determine if the graph has a maximum or a minimum value. Since the graph opens downwards, it has a <u>maximum</u> value.
The maximum is the point that has the greatest y value. We can see that the greatest y value is at
. Going down two units from that spot, we can see that the x value is at
. We can plug those into the vertex form,
. By plugging in we get the point
.
Answer:
$10.74 or C.
Step-by-step explanation:
First multiply the total cost of a single package of buns by the number you want, in this case 6.
1.79 x 6 = 10.74
Answer:
gravitational Potential Energy
Step-by-step explanation:
Th answer is x-2.hope this helps