document.write( "Question 1190718: Find the domain of gf if f (X) =x^2 and g(X) = square root of x-6 \n" ); document.write( "
Algebra.Com's Answer #822433 by ikleyn(52803)\"\" \"About 
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\n" ); document.write( "Find the domain of gf if f(X) =x^2 and g(X) = square root of (x-6)
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document.write( "The composite function  (gof)(x) is  (gof)(x) = \"sqrt%28x%5E2-6%29\".\r\n" );
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document.write( "This composite function is defined if and only if  x^2-6 >= 0,  or  x^2 >= 6.\r\n" );
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document.write( "It means that  the domain is the union of two sets  ( -oo < x <= \"-sqrt%286%29\" )  and  ( \"sqrt%286%29\" <= x < oo ).\r\n" );
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document.write( "In the interval form, it is the same as  (-oo,\"-sqrt%286%29\" ] U [ \"sqrt%286%29\",oo).\r\n" );
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