I want to fill between the curves on the domain {0,1}. I only want it on that domain, does anyone know how to do that with the given curves? Sorry for a probably simple question, I'm a beginner to Mathematica.

f[x_]=x^2;
g[x_] = x;

Plot[{f[x], g[x]}, {x, 0, 1.25}, PlotLabels -> {"f", "g"}]