Question 22122
i assume you mean g(x) = {{{-4x/(6x+1)}}} ?


ok, inverses...you have y={{{-4x/(6x+1)}}}. All it is asking for is x=? How do to this? by re-arranging...


{{{y = -4x/(6x+1)}}}
{{{y(6x+1) = -4x}}}
{{{6xy+y = -4x}}}
{{{6xy + 4x = -y}}}
{{{x(6y + 4) = -y}}}
{{{x = -y/(6y + 4)}}}


so g(y) = {{{-y/(6y + 4)}}}


However, we tend to write equations in terms of x rather than y, so this is g(x) = {{{-x/(6x + 4)}}}


And this is the inverse of our original function, so we have {{{g^(-1)(x) = -x/(6x + 4)}}}
jon.