document.write( "Question 205007: I need help with inverse problems. What is the inverse of the function f(x)=x+2/x-2? \n" ); document.write( "
Algebra.Com's Answer #154756 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
What is the inverse of the function f(x)=x+2/x-2?
\n" ); document.write( ":
\n" ); document.write( "Write it:
\n" ); document.write( "y = \"%28%28x%2B2%29%29%2F%28%28x-2%29%29\"
\n" ); document.write( "Swap x with y and solve for y:
\n" ); document.write( "x = \"%28%28y%2B2%29%29%2F%28%28y-2%29%29\"
\n" ); document.write( "Multiply both sides by (y-2)
\n" ); document.write( "x(y-2) = y + 2
\n" ); document.write( ":
\n" ); document.write( "xy - 2x = y + 2
\n" ); document.write( ":
\n" ); document.write( "xy - y = 2x + 2
\n" ); document.write( "Factor out y on the left:
\n" ); document.write( "y(x-1) = 2x + 2
\n" ); document.write( "Divide both sides by (x-1)
\n" ); document.write( "y = \"%28%282x%2B2%29%29%2F%28%28x-1%29%29\"
\n" ); document.write( ":
\n" ); document.write( "\"f%28x%5E-1%29\" = \"%28%282x%2B2%29%29%2F%28%28x-1%29%29\"; is the inverse
\n" ); document.write( " \n" ); document.write( "
\n" );