Answer
$-38$
Work Step by Step
Calculate each individual term:
$\sqrt{f(-1)-f(0)}=\sqrt{3-(-1)}=\sqrt{4}=2,$
$[g(2)]^{2}=(-6)^{2}=36$
$f(-2)\div g(2)g(-1)=6\div(-6)\cdot 4=-1\cdot 4=-4$
$\sqrt{f(-1)-f(0)}-[g(2)]^{2}+f(-2)\div g(2)g(-1)=$
$= 2 -36 +(-4)$
$=-34-4$
$=-38$
