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:
3t-21 hope I helped you! >w<
Step-by-step explanation:
11) x^5
12) 5x^2
13) x+21
14) 2x-8
15) 3^3
=3*3*3
=27
16)2^5
=2*2*2*2*2
=32
17) 5^4
=5*5*5*5
=625
18)2 times a number p squared
19)3 times a number m fifth power
20)the addition of half a number and 2
Answer:
The answer is to the question is 13