document.write( "Question 499374: Find the domain of 1/sqrt(3x+8) \n" ); document.write( "
Algebra.Com's Answer #337620 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! 1/sqrt(3x+8) \n" ); document.write( ". \n" ); document.write( "The domain is affected by the square root function. \n" ); document.write( "We should assume we are limited to the real numbers, so the value of 3x+8 cannot be negative. \n" ); document.write( "Also, since the expression is in a denominator it cannot = 0. \n" ); document.write( ". \n" ); document.write( "x = -8/3 would result 0, so that cannot be allowed. \n" ); document.write( "x < -8/3 would result in a negative value, so that cannot be allowed. \n" ); document.write( ". \n" ); document.write( "So, the domain of x is all real x > -8/3. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |