document.write( "Question 901625: what is the domain of sqrt[5(5(x)^2-7)-6] ??\r
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document.write( "i tried (-inf,inf) because i considered it as a polynomial but i turned out to be wrong \r
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document.write( "please help me! \n" );
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Algebra.Com's Answer #546915 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! note that we do not want a square root of a negative number \n" ); document.write( "we are given \n" ); document.write( "sqrt[5(5(x)^2-7)-6] = \n" ); document.write( "sqrt[5(5x^2 - 7) - 6] = \n" ); document.write( "sqrt[ 25x^2 -35 - 6] = \n" ); document.write( "sqrt[ 25x^2 - 41] \n" ); document.write( "now 25x^2 > 41 \n" ); document.write( "x^2 > 41/25 \n" ); document.write( "x > sqrt(41)/5 \n" ); document.write( "the interval is (sqrt(41)/5, +infinity) \n" ); document.write( " |