SOLUTION: what are the domains of these expressions? How do I find these domains? 1). the sqrt of 2-x 2). x-3 over x+2 3). 3x^2 +2x -8

Algebra ->  Algebra  -> Functions -> SOLUTION: what are the domains of these expressions? How do I find these domains? 1). the sqrt of 2-x 2). x-3 over x+2 3). 3x^2 +2x -8      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 74600: what are the domains of these expressions? How do I find these domains?
1). the sqrt of 2-x
2). x-3 over x+2
3). 3x^2 +2x -8
Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
Find Domain of the following:
Domains are unrestricted unless certain x-values result in
non-Real numbers or produce denominators of zero.
1). the sqrt of (2-x
To avoid non-Real number results 2-x >=0; x<=2
So, Domain is all Real numbers x<=2
--------------
2). x-3 over x+2
To keep the denominator a non-zero value, x must not be -2
So, Domain is all Real numbers except x=-2
--------------
3). 3x^2 +2x -8
X can take on any value.
So, Domain is all Real numbers.
==============
Cheers,
Stan H.