Question 33647
{{{ f(x)=(x+4)/(x-3) }}}
{{{ y=(x+4)/(x-3) }}}
{{{ y(x-3)=(x+4) }}}
{{{ xy-3y=x+4 }}}
{{{ xy-3y-x=4 }}}
{{{ xy-x=4+3y }}}
{{{ x(y-1)=4+3y }}}
{{{ x=(4+3y)/(y-1) }}}


so {{{ f(y)=(4+3y)/(y-1) }}}
or {{{ f(x)=(4+3x)/(x-1) }}}


and as this is the inverse function of the original, we can write:
{{{ f^(-1)(x)=(4+3x)/(x-1) }}}


You will need to quote the domain as well though.


jon.