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)
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Algebra.Com's Answer #351941 by lwsshak3(11628)\"\" \"About 
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))
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\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,∞)
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