SOLUTION: what is the domain of following function of x : {{{ sqrt (3-x) - sqrt (2+x) }}} Is it -2 <= x <= 3? or am I way off base?

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Question 782954: what is the domain of following function of x :
+sqrt+%283-x%29+-+sqrt+%282%2Bx%29+

Is it -2 <= x <= 3? or am I way off base?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


No, you are spot on. You need the set of numbers that make the first radical defined, namely anything 3 or smaller, and the set of numbers that make the second radical defined, namely anything -2 or larger, and you need the intersection of these two sets because any value in the domain must make both of the square root functions defined.

John

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