Hello,

I took this a long time ago and I need to refresh my mind about it, can you please help ?

The function $\displaystyle y=f(x)$ is defined by $\displaystyle y=x^2 + 4$ for $\displaystyle -2< x < 0.$

Find the inverse function $\displaystyle f^-1(x)$ stating its range and domain, and sketch the inverse function $\displaystyle f^-1(x)$.

Now I do now really want the sketch since I will try finding that out myself.

But how do we find $\displaystyle f^-1(x)$ ?? What I remember is that im supposed to re-arrange the equation so that it is $\displaystyle x=$ .. but wont that change the domain and range ?

Please help,

Kind Regards,

Z