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).
Y = mx + b, m = slope and b = y-intercept
Because you don't have the y-intercept, you take the equation and replace x and y with the values given, then solve for b and replace b in the original equation with the value found.
y = 2/3x + b
0 = (2/3)(-3) + b
0 = -2 + b
2 = b
y = 2/3x + 2 is the answer
Answer:
The answer to 34,977* 2,344 is 81986088. Therefore, it is an even number.
Step-by-step explanation:
Answer:
option b
Step-by-step explanation:
replace x and y with the x and y of the ordered pair
option a: 2(4)+4(5)=6(4)-5
solve
8+20=24-5
28=19 not true
option b:2(5)+4(4)=6(5)-4
solve
10+16=30-4
26=26 true
