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:
85 i think
Step-by-step explanation:
Answer: First option.
Step-by-step explanation:
You know that the product obtained by multiplying a binomial and a trinomial is:
Then, in order to simplify this product, it is necessary to add the like terms.
Therefore, the expression that is equivalent to this product after it has been fully simplified is:
You can observe that this matches with the first option.
Answer:
$75.08
Step-by-step explanation:
x over 57.75 = 30 over 100
57.75 * 30
1732.5 / 100
17.325
57.75 + 17.325
75.075
Simplify = $75.08
