Mathematics - Functions Question with Solution | TestHub

To find $g(f(-1))$, we first evaluate $f(-1)$. Since $-1<0$, we use the first case for $f(x)$, so $f(-1)=-1+2=1$. Now we need to evaluate $g(1)$. Since $1\ge 1$, we use the second case for $g(x)$, so $g(1)=2(1)-1=1$. Therefore, $g(f(-1))=1$. Thus, option A is correct.