Question 30992
i assume you mean {{{ f(x)=(x+3)^2 -2 }}}?


If so, then we have {{{ y=(x+3)^2 -2 }}}

{{{ y+2=(x+3)^2 }}}
{{{ sqrt(y+2)=x+3 }}}
{{{ sqrt(y+2) - 3 = x }}}


so, f(y) = {{{ sqrt(y+2)-3}}}
or, since this is the inverse function, we can write it as {{{f^(-1)(x) = sqrt(x+2)-3}}}, in terms of x --> we always tend to quote equations in terms of x.


jon.