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Question

Find the domain of definition of the following function.
y=43xx2x+4.

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Solution

y=43xx2x+4
x+40
x4
(43xx2)0
(x23x+4)0
x24x+x+40
(x+1)(x+4)0
x4
x+10
x1
x1
So, the Domain of y=(4,1]

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