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anonymous
 one year ago
pleases help me!!!!!
Is it possible for x = −2 to be in the Domains of the functions
a) R(x) =3x^35x+6/x+2
b) H(x)=√x+1
Explain why or why not for each function.
What are the Domains of the functions R(x) and H(x)? If required, use inf for ∞.
anonymous
 one year ago
pleases help me!!!!! Is it possible for x = −2 to be in the Domains of the functions a) R(x) =3x^35x+6/x+2 b) H(x)=√x+1 Explain why or why not for each function. What are the Domains of the functions R(x) and H(x)? If required, use inf for ∞.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if you plug 2 in for x in equation a what would you end up with in the denominator?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yep so if you divide by 0 what kind of answer does that give?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no, if you divide by zero the answer is "undefined"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so knowing that, here is the definition of the domain of a function , from wikipedia, "the domain of definition (or simply the domain) of a function is the set of "input" or argument values for which the function is defined"

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the domain is only inputs for which the function is defined, but for function a if we plug in a 2 then the answer is "undefined" so therefore is 2 in the domain of function a?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so 2 cannot be the domain or either one,right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it cannot be in the domain of a for sure, because divide by zero is "undefined", what about function b?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0because it'd leave u with an irrational right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well it would leave you with a complex/imaginary number which technically i think would be in the domain, but i think the answer your teacher is looking for is that is NOT in the domain

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok good so you have the first question done what about the second part, what are the domains of each function?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so lets look at equation b first, what type of numbers for x would give us a complex/imaginary answer?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0correct, so the domain would be all numbers 0 or greater, right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0perfect so that would look like this x greater than or equal to 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now how about equation a, there is only one number, 2, that would give us a divide by zero

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so what would the domain look like for a?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes but also greater than 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i think you need to write both answers in interval notation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you write this in interval notation? x is all numbers less than 2 and all numbers greater than 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh, good, what did you get for A?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hmm thats the answer for b

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0whoops yeah, i get B but not A

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so b, you need to use a union symbol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how would you show all numbers less than 2?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wait, just got completely confused

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay sorry bout that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no prob, ok so for a lets do that in two steps, how can you show that x is all numbers less than 2?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i mean in interval notation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0like this (inf, 2)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok but x is also all numbers greater than 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so we need to write it like this (inf, 2) U (2, inf)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0does this make sense?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes, theres brackets on 2 tho,right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there is not brackets on the 2 because 2 is not included in the domain

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so since its not included we use parenthesis

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i thnk i got it, thanks so much!
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