Given that $f(x)=x^{2}-7 x$ and $g(x)=x-2$, calculate (a) $(f \circ g)(-5)=$

Step 1 ：Calculate \(g(-5)\) by substituting \(x = -5\) into the function \(g(x)\): \(g(-5) = -5 - 2 = -7\)

Step 2 ：Calculate \(f(g(-5))\) by substituting \(x = g(-5) = -7\) into the function \(f(x)\): \(f(g(-5)) = f(-7) = (-7)^{2} - 7*(-7) = 49 + 49 = 98\)

Step 3 ：Check the result by substituting \(x = -5\) back into the composition of the functions: \((f \circ g)(-5) = f(g(-5)) = f(-7) = (-7)^{2} - 7*(-7) = 49 + 49 = 98\)

Step 4 ：\(\boxed{(f \circ g)(-5) = 98}\) is the final answer