idontknow113
28.11.2019 •
Mathematics
Algebra 2 question , i need with this question it's worth a quiz grade
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Ответ:
The domain can only contain those values of x for which the denominator is not zero, that is all real numbers except 1,
AND for which 2-x i greater or equal to 0 (because if 2-x is negative, the square root of it cannot be calculated).
The last inequation, , is solved as follows:
adding -2 to both sides we have .
Multiplying by -1 (and not forgetting to swap the sign), we have .
So x must be smaller or equal than 2, but also x cannot be 1, from the first condition. This means that the answer is ( - ∞ , 1 ) U ( 1 , 2].
( - ∞ , 1 ) U ( 1 , 2]