document.write( "Question 200885: I don't have a graphing calculator can you show without a calculator the rational function g(x)=3x-6/x+4? please show me how to do this problem. \n" ); document.write( "

Algebra.Com's Answer #151129 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Just looking at it, you should be
\n" ); document.write( "able to answer a few questions.
\n" ); document.write( "(1) What is $\"g%28x%29\"$ when $\"x=0\"$ ?
\n" ); document.write( "ans: $\"g%28x%29\"$ is minus infinity
\n" ); document.write( "(2) What value of $\"x\"$ makes $\"g%28x%29=0\"$ ?
\n" ); document.write( "ans:
\n" ); document.write( " $\"g%28x%29=3x-6%2Fx%2B4\"$
\n" ); document.write( " $\"0+=3x-6%2Fx%2B4\"$
\n" ); document.write( " $\"6%2Fx+=+3x+%2B+4\"$
\n" ); document.write( " $\"6+=+3x%5E2+%2B+4x\"$
\n" ); document.write( " $\"3x%5E2+%2B+4x+-+6+=+0\"$
\n" ); document.write( " $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( " $\"a+=+3\"$
\n" ); document.write( " $\"b+=+4\"$
\n" ); document.write( " $\"c+=+-6\"$
\n" ); document.write( " $\"x+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A3%2A%28-6%29+%29%29%2F%282%2A3%29+\"$
\n" ); document.write( " $\"x+=+%28-4+%2B-+sqrt%28+16+%2B+72+%29%29%2F6+\"$
\n" ); document.write( " $\"x+=+%28-4+%2B-+sqrt%2888%29%29%2F6+\"$
\n" ); document.write( " $\"x+=+%28-4+%2B+9.38%29%2F6\"$
\n" ); document.write( " $\"x+=+5.38%2F6\"$
\n" ); document.write( " $\"x+=+.897\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x+=+%28-4+-+9.38%29%2F6\"$
\n" ); document.write( " $\"x+=+-13.38%2F6\"$
\n" ); document.write( " $\"x+=+-2.23\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Now, I graph it
\n" ); document.write( " $\"+graph%28+600%2C+600%2C+-6%2C+6%2C+-20%2C+20%2C+3x+-+6%2Fx+%2B+4%29+\"$
\n" ); document.write( "My calculations look good\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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