SOLUTION: Determine the domain and range of {(x,y)|y=√ x2-49}

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Question 1179821: Determine the domain and range of {(x,y)|y=√ x2-49}
Answer by MathLover1(20849) About Me  (Show Source):
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Determine the domain and range of { (x,y) | y=sqrt%28x%5E2-49%29 }
domain is all non-negative real numbers except those which make x%5E2-49 equal to zero
x%5E2-49=0
x%5E2-7%5E2=0
%28x-7%29%28x%2B7%29=0
=>x=7 or x=-7
domain is: { x element R : x%3C=-7 or+x%3E=7 }
range is: { y element R :+y%3E=0 } (all non-negative real numbers)