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:
Aye My Guy You Got The Answer Yet Lol
Step-by-step explanation:
The inequality that can be used to determine x is
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<h3>How to generate the inequality</h3>
<u>Given data</u>
Rental company charge per day = $31.91
Rental company charge per mile driven = $0.07
Hudson plans to drive 100 miles
Hudson has at most $70
solution
let x represent he maximum number of days Hudson can afford to rent while staying on budget. cost of number of days is:
$31.91 * x= 31.91x
As Hudson plans to ride 100 miles; cost is:
100 * 0.07 = $7
therefore number of days plus 100 miles ride is:
31.91x + 7
with a limit of less than or equal to the budget we have:
The inequality above could be used to determine x
Read more on inequality here: brainly.com/question/11613554
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Answer:3 minute
Step-by-step explanation:
Sakura speaks hungarian =150 words per minute
Sakura speaks polish =190 words per minute
and it is given she speaks 270 more words in polish than in hungarian
She speaks for a total of 5 minutes
let she speaks hungarian for t mins
therefore
t=2 mins
therefore sakura speaks hungarian for 2 mins and polish for 3 mins
7^4 or seven to the fourth power because 7 is being multiplied by 7 when you raise it to a power.