document.write( "Question 5841: Identify any intercepts and asymptotes of the following:
\n" ); document.write( "f(x)=2x-1/x-5\r
\n" ); document.write( "\n" ); document.write( "I got 1 and 2 as asmptotes, is that right?
\n" ); document.write( "I also don't know how to find intercepts. \n" ); document.write( "
Algebra.Com's Answer #3042 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
I am going to GUESS what you meant. I suspect that you did not use parenthese properly. If my guess is wrong, please submit the problem again.\r
\n" ); document.write( "\n" ); document.write( "\"++f%28x%29+=+%282x-1%29%2F%28x-5%29+++\"\r
\n" ); document.write( "\n" ); document.write( "Here's a graph (ignore the misbehavior around x=5, my graphing system is not great): \r
\n" ); document.write( "\n" ); document.write( "\"graph%28+400%2C+400%2C+-1%2C+10%2C+-10%2C+10%2C+%282x-1%29%2F%28x-5%29%29+\"\r
\n" ); document.write( "\n" ); document.write( "to find x-intercept, remember that x intercept means that the function is equal to zero. that's a simple equation:\r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "


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  • This is an equation! Solutions: x=0.5.
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  • Graphical form: \"%282x-1%29%2F%28x-5%29=0\" simplifies to \"2%2F%28x-5%29=0\"
  • Text form: (2x-1)/(x-5)=0 simplifies to 2/(x-5)=0
  • Cartoon (animation) form: \"simplify_cartoon%28+%282x-1%29%2F%28x-5%29=0+%29\"
    For tutors: simplify_cartoon( (2x-1)/(x-5)=0 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"highlight_red%28+%282%2Ax-1%29+%29%2F%28x-5%29=0\".
Notes known roots (x-(0.5))
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Look at \"highlight_red%28+%28highlight_red%28+2+%29%29%2F%28x-5%29+%29=0\".
Remove unneeded parentheses around factor \"highlight_red%28+2+%29\"
It becomes \"highlight_green%28+2+%29%2F%28x-5%29=0\".
Result: \"2%2F%28x-5%29=0\"
\n" ); document.write( "This is an equation! Solutions: x=0.5.

Universal Simplifier and Solver

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Done!

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\n" ); document.write( "\n" ); document.write( "so, 1/2 is the x intercept. Y intercept is the value of function with x set to zero, \"-1%2F-5+=+1%2F5\"\r
\n" ); document.write( "\n" ); document.write( "Asymptote is not a hard thing to find. You have two polynomials dividing one another, the asymptote is the fraction of the top highest coefficient to bottom highest coefficient, or 2/1, or 2. \r
\n" ); document.write( "\n" ); document.write( "\"%282x-1%29%2F%28x-5%29\" can be rewritten as \r
\n" ); document.write( "\n" ); document.write( "\"+%282x-1%29%2F%28x-5%29+=+%282%28x-5%29%2B9%29%2F%28x-5%29+=+2+%2B+9%2F%28x-5%29\"\r
\n" ); document.write( "\n" ); document.write( "the last part obviously is composed of two things, constant 2 and a part that approaches 0 as x tends to infinity. So 2 is the asymptote. \n" ); document.write( "
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