document.write( "Question 535370: Hi, I have another hard one.\r
\n" );
document.write( "\n" );
document.write( "Find the domain of the logarithmic function:\r
\n" );
document.write( "\n" );
document.write( "f(x)=ln(1/x+3) \n" );
document.write( "
Algebra.Com's Answer #351941 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Hi, I have another hard one. \n" ); document.write( "Find the domain of the logarithmic function: \n" ); document.write( "f(x)=ln(1/(x+3)) \n" ); document.write( "** \n" ); document.write( "x+3>0 \n" ); document.write( "x>-3 \n" ); document.write( "so you have an asymptote at x=-3 \n" ); document.write( "At x=2 \n" ); document.write( "ln(1/(x-3))=ln(1/1)=ln(1)=0 \n" ); document.write( "so it crosses the x-axis at x=2, and f(x) gradually becomes increasingly negative as x approaches infinity: \n" ); document.write( "Domain: (-3,∞) \n" ); document.write( " |