Suppose g(x)=4x^2+8x+13. Does g have an inverse? If so, find g^{-1}(25). If not, enter "undef".
+118608 Suppose g(x)=4x^2+8x+13. Does g have an inverse? If so, find g^{-1}(25). If not, enter "undef".
g(x) only has an inverse if you restrict the domain.
g(x) is a concave up parabola. At the vertex \(x= \frac{-b}{2a}=\frac{-8}{8}=-1\)
So if you restrict the domain to x>-1 or X<-1 then it will have an inverse, otherwise, it does not.
Since no restriction is given, the inverse is undefined.
https://www.geogebra.org/classic/p9zznufj
