Chapter 7 - Functions and Graphs - 7.2 Domain and Range - 7.2 Exercise Set - Page 459: 57

$a.\quad-15$ $b.\quad 0$ $c.\quad-6$

$a.\quad $ $x=-10$ belongs to the interval $x\leq -1$, so we calculate its function value with $G(x)=x-5$ $G(-10)=-10-5=-15$ $b.\quad $ $x=0$ belongs to the interval $x\gt-1$, so we calculate its function value with $G(x)=x$ $G(0)=0$ $c.\quad $ $x=-1$ belongs to the interval $x\leq -1$, so we calculate its function value with $G(x)=x-5$ $G(-1)=-1-5=-6$