document.write( "Question 198355: I seemed to have made an error in getting the right answer for this problem. Can you help with the right answer?\r
\n" ); document.write( "\n" ); document.write( "thanks!\r
\n" ); document.write( "\n" ); document.write( "Find the inverse function of f.\r
\n" ); document.write( "\n" ); document.write( "f(x)=1/(-8 x^2 - 8),x>=0 \n" ); document.write( "

Algebra.Com's Answer #148847 by arallie(162) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"f%28x%29=1%2F%28-8x%5E2-8%29\"$ $\"x%3E=0\"$
\n" ); document.write( " $\"f%5E-1%28x%29\"$ =?
\n" ); document.write( " $\"y=1%2F%28-8x%5E2-8%29\"$
\n" ); document.write( "Invert
\n" ); document.write( " $\"x=1%2F%28-8y%5E2-8%29\"$
\n" ); document.write( "Solve for y
\n" ); document.write( " $\"x%28-8y%5E2-8%29=1\"$
\n" ); document.write( " $\"-8y%5E2-8=x%5E-1\"$
\n" ); document.write( " $\"-8y%5E2=x%5E-1%2B8\"$
\n" ); document.write( " $\"y%5E2=-%28x%5E-1%2B8%29%2F8\"$
\n" ); document.write( " $\"y=sqrt%28-%28x%5E-1%2B8%29%2F8%29\"$
\n" ); document.write( "So
\n" ); document.write( "If $\"f%28x%29=1%2F%28-8x%5E2-8%29\"$ $\"x%3E=0\"$
\n" ); document.write( "Then $\"f%5E-1%28x%29=sqrt%28-%28x%5E-1%2B8%29%2F8%29\"$ $\"inf%3E=x%3E=-inf\"$
\n" ); document.write( "Or $\"f%5E-1%28x%29=sqrt%281-%281%2F8x%29%29\"$ $\"inf%3E=x%3E=-inf\"$
\n" ); document.write( " \n" ); document.write( "

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