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anonymous
 one year ago
f(x) = 5 / (x  2)
answer: x ≠ 2
My lesson does not tell me how they got that answer. I can not figure it out.
anonymous
 one year ago
f(x) = 5 / (x  2) answer: x ≠ 2 My lesson does not tell me how they got that answer. I can not figure it out.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0What do you think is the value of f(x) when x=2, or in short, what is f(2)?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if x = 2 then it would be f(x)= 5/0 which is just f(x) = 5?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Nope, division by 0 is not defined so \[\frac{5}{0}\] has no meaning, that's why x can take any value except 2 This is also the reason why you can't multiply both sides of an equation by 0 consider \[y=2x\] If you multiply both sides by 0 you get \[y \times 0=2x \times 0\] Now one may say to get back the original equation we simply have to divide by 0 \[\frac{y \times 0}{0}=\frac{2x \times 0}{0}\] Now division by 0 is not defined, so this has no meaning, so you just simply can't multiply both sides of an equation by 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Also remember \[\frac{5}{1}=5\] and you are saying \[\frac{5}{0}=5\] This implies that \[1=0\] which is not true

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0okay so since division by 0 is not defined, it would give x an infinite amount of values other than 2 because of how we worked out the equation? like x  2 = 0 turns into x = 2 and when x is replaced by 2 we get 0 which brings us back to it being undefined?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes and this is what we call the "domain" of the function, the set of all the values that x can take symbolically we write dw:1441558284235:dw Set of real numbers minus the set containing number 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Basically x can take any value except 2 because for 2 it is not defined
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