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 1064348: 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.
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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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.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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 (0,1].