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What are the discontinuities of the function f(x) =x<2-36/4x-24 ?

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Well, 2-36/4x-24 is the same as (2-24)-(36/4)x which simplifies to -22-9x. This does not have a discontinuity anywhere. If you meant to divide 36 by 4x, then x=0 would be the discontinuity since you cannot divide by 0. If you meant to have 4x-24 all in the denominator, then x=6 is the discontinuity since that would make the bottom equal 0. So it seems you need some parenthesis here somewhere for your problem to make sense.
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