SOLUTION: An expression is well-defined if you can compute its value without any illegal operations. Examples of expressions that are not well-defined include 1/0 and sqrt{-10}. For what val

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Question 1063759: An expression is well-defined if you can compute its value without any illegal operations. Examples of expressions that are not well-defined include 1/0 and sqrt{-10}. For what values of x is the expression
sqrt{x + 1} + {1 - x}}/{\sqrt{x}}
well-defined?
Express your answer in interval notation.
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
I read your expression as

sqrt(x + 1) + (1 - x)/sqrt(x)

If your expression is different, then it is your fault (because your formula formally is NOT correct).

In this case, the following conditions must be satisfied: 

x + 1 >= 0,

x >= 0      and

x =/= 0.

In the interval form, x must belong to the set (0,infinity ).