document.write( "Question 977095: Hello!\r
\n" ); document.write( "\n" ); document.write( "I need help with this equation.\r
\n" ); document.write( "\n" ); document.write( "f(x)= 1/x-6\r
\n" ); document.write( "\n" ); document.write( "I need to find the domain, x-intercept and y=intercept,vertical and horizontal asymptote and the graph.
\n" ); document.write( "Please explain each step.
\n" ); document.write( "Thank you
\n" ); document.write( "

Algebra.Com's Answer #598617 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
f(x)= 1/x-6
\n" ); document.write( "I need to find the domain, x-intercept and y=intercept,vertical and horizontal asymptote and the graph.
\n" ); document.write( "Please explain each step.
\n" ); document.write( "***
\n" ); document.write( "f(x)= 1/(x-6)
\n" ); document.write( "note: please use parenthesis as shown next time.(I assume this is what you meant)
\n" ); document.write( "..
\n" ); document.write( "Domain: all real numbers except x≠6. At x=6, denominator =0, making the function undefined.
\n" ); document.write( "x-intercept: none . Because of constant 1 in numerator, y≠0
\n" ); document.write( "y-intercept: -1/6
\n" ); document.write( "set x=0, then solve for y
\n" ); document.write( "Vertical asymptote: x=6
\n" ); document.write( "set denominator=0, then solve for x
\n" ); document.write( "horizontal asymptote: x-axis
\n" ); document.write( "rule: if power of x in numerator is less than power of x in the denominator, horizontal asymptote=x-axis or y=0
\n" ); document.write( "see graph below:\r
\n" ); document.write( "\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-2%2C+2%2C1%2F%28x-6%29%29+\"
\n" ); document.write( "
\n" );