document.write( "Question 388956: what is the natural domain of x^2-25 and g(x)=sqrt of x-2 over sqrt of x^2-25 \n" ); document.write( "

Algebra.Com's Answer #275398 by edjones(8007) $\"\"$ $\"About$

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sqrt(x-2)/sqrt(x^2-25)
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\n" ); document.write( "Numerator x>=2 to avoid sqrt of a negative number.
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\n" ); document.write( "factor (x-5)(x+5)
\n" ); document.write( "x>5 to avoid division by zero if x=5 and x>5 so no sqrt of a negative number.
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\n" ); document.write( "X(5, infinity)
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