document.write( "Question 364470: 1) Given the function f:x=6X-(2/X), X>0, Find:
\n" ); document.write( "a) F-1(inverse)
\n" ); document.write( "b) f-1(-1)
\n" ); document.write( "c) f-1(-4) \n" ); document.write( "

Algebra.Com's Answer #259877 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"y=6x-2%2Fx\"$
\n" ); document.write( " $\"x=6y-2%2Fy\"$
\n" ); document.write( " $\"xy=6y%5E2-2\"$
\n" ); document.write( " $\"6y%5E2-xy=2\"$
\n" ); document.write( "Complete the square in $\"y\"$ .
\n" ); document.write( " $\"6%28y%5E2-%28x%2F6%29y%29=2\"$
\n" ); document.write( " $\"6%28y%5E2-%28x%2F6%29y%2B%28x%5E2%2F144%29%29=2%2B6%28x%5E2%2F144%29\"$
\n" ); document.write( " $\"6%28y-x%2F12%29%5E2=2%2Bx%5E2%2F24\"$
\n" ); document.write( " $\"%28y-x%2F12%29%5E2=1%2F3%2Bx%5E2%2F144\"$
\n" ); document.write( " $\"y-x%2F12=0+%2B-+sqrt%281%2F3%2Bx%5E2%2F144%29\"$
\n" ); document.write( " $\"y=x%2F12+%2B-+sqrt%281%2F3%2Bx%5E2%2F144%29\"$
\n" ); document.write( " $\"highlight%28f%5E%28-1%29%28x%29=x%2F12+%2B-+sqrt%281%2F3%2Bx%5E2%2F144%29%29\"$
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\n" ); document.write( "Use the inverse function and substitute $\"x=-1\"$ and $\"x=-4\"$ and solve for $\"f%5E%28-1%29%28x%29\"$ .\r
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