f(x)=3/2x-4, x≠k
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answers:
cidyah say: 2x-4 cannot equal to 0 because it would imply zero divide which is undefi≠d
2x ≠ 4
divide both sides by 2
x ≠ 2
k=2
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Michael say: Well,
let
f(x) = 3 / (2x - 4)
and let's determine the domain of function f
f is defined whenever the denominator is =/= 0
so let's solve
2x - 4 = 0
2x = 4
x = 2
therefore the domain D of function f is
D = R - { 2 }
and according to your question, you are correct : k = 2
hope it' ll help !!
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Mathias say: Yes, your working is correct.
You've got to find the interval of definition of the function (aka the domain)... And k represents the value of x, according to which the function is not defined.
The only value that cancels the denominator out is x = 2, so k = 2 and x ≠ k.
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Pope say: Your follow-up statement seems to suggest that (2x - 4) is a denominator in the function definition. That is not what you wrote. However, if that is the case, then yes, you would have to exclude 2 from the domain of f in order to avoid division by zero.
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Como say: Presentation is such that question has no meaning.
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Philip say: This question is utter gibberish!!!
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