.
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} + sqrt{1 - x}] /sqrt{x}
well-defined?
Express your answer in interval notation.
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For your expression to be well defined, the following conditions must be satisfied:
x + 1 >= 0,
1 - x >= 0,
x >= 0 and
x =/= 0.
The solution is 0 < x <= 1.
In the interval form, x must belong to the set (,].