Mathematics - Functions Question with Solution | TestHub

Let $f(x)=2x+3$ for $x\le 1$ and $f(x)=p^{2}x+1$ for $x>1$. If $f$ is onto and $p_1,p_2$ are the minimum and maximum possible $p$, find $\left|\left(p_2+1\right)/p_1\right|$.