Answer
-38
Work Step by Step
Put the values from the table in the equation to get the numerical equations as
\[\sqrt{3-\left( -1 \right)}-{{\left[ -6 \right]}^{2}}+6\div \left( -6 \right)\cdot 4\]
Solve the equation using BODMAS
\[\begin{align}
& \sqrt{3-\left( -1 \right)}-{{\left[ -6 \right]}^{2}}+6\div \left( -6 \right)\cdot 4=\sqrt{3-\left( -1 \right)}-{{\left[ -6 \right]}^{2}}-1\cdot 4 \\
& =\sqrt{4}-\left[ 36 \right]-4 \\
& =2-40 \\
& =-38
\end{align}\]
The value of\[\sqrt{f\left( -1 \right)-f\left( 0 \right)}-{{\left[ g\left( 2 \right) \right]}^{2}}+f\left( -2 \right)\div g\left( 2 \right)\cdot g\left( -1 \right)=-38\].