document.write( "Question 269039: How do you find the domain of f(x)=9/(2+log(3x))? \n" ); document.write( "
Algebra.Com's Answer #197158 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! find the domain of f(x)=9/(2+log(3x))? \n" ); document.write( "---- \n" ); document.write( "Two conditions: \n" ); document.write( "1. The denominator cannot be zero. \n" ); document.write( "2. 3x must be >0 \n" ); document.write( "----------------------------------- \n" ); document.write( "1. Solve 2+log(3x) = 0 \n" ); document.write( "log(3x) = -2 \n" ); document.write( "3x = 10^-2 = 1/100 \n" ); document.write( "x = 1/300 \n" ); document.write( "----------- \n" ); document.write( "2. 3x > 0 \n" ); document.write( "x > 0 \n" ); document.write( "------------- \n" ); document.write( "Domain: All Real Numbers >0 and not equal to 1/300. \n" ); document.write( "===================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |