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 ->  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


   

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(75887) 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
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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
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3). 3x^2 +2x -8
X can take on any value.
So, Domain is all Real numbers.
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Cheers,
Stan H.