No map from the torus to $S^1\vee S^1$ has a left inverse

Let \(f:S^1\vee S^1\to T\) be a continuous map, where \(T\) is the torus. Show that there is no continuous map \[ g:T\to S^1\vee S^1 \] such that \(f\circ g\) is the identity map on \(T\).