V = (-7,-4)
8v would be 8 times both numbers
8v = (8*-7, 8*-4)
8v = (-56, -36)
magnitude = square root( -56^2 + -36^2)
= sqrt(3136 + 1296)
= sqrt(4432 )
= 4 sqrt(277)
Step-by-step explanation:
Here is the solution...hope it helps:)
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).
