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

Algebra ->  Rational-functions -> 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      Log On


   



Question 1063878: 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.

Found 2 solutions by Fombitz, ikleyn:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
x%2B1%3E=0
x%3E=-1
and
1-x%3E=0
-x%3E=-1
x%3C=1
and
x%3E0
So,
(0,1]

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Was solved, asked and answered a week ago
https://www.algebra.com/algebra/homework/Rational-functions/Rational-functions.faq.question.1064348.html

https://www.algebra.com/algebra/homework/Rational-functions/Rational-functions.faq.question.1064348.html

For what reason do you post it again and again ?