document.write( "Question 6609: How do you find the inverse of
\n" ); document.write( " (3/(x-1))? \n" ); document.write( "

Algebra.Com's Answer #3592 by Mike(39) $\"\"$ $\"About$

You can put this solution on YOUR website!
Here is what you need to do:
\n" ); document.write( "f(x) is the same as saying y. Therefore, f(x) = 3/(x-1) is the same as y = 3/(x-1). To find the inverse, simply switch y and x around. As such: x = 3/(y-1). Now all you have to do is solve for y:\r
\n" ); document.write( "\n" ); document.write( "x(y-1) = 3
\n" ); document.write( "y-1 = 3/x
\n" ); document.write( "y = 3/x + 1\r
\n" ); document.write( "\n" ); document.write( "The answer may also be expressed as follows: f^-1(x) = 3/x + 1. f^-1(x) means it is the inverse of the function.
\n" ); document.write( "Hope that helps.
\n" ); document.write( "Regards,
\n" ); document.write( "-Mike \n" ); document.write( "

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