Firstly, we need to find the value of r(-3) by substituting -3 into function r(x). The function r(x) is defined as r(x) = -4*x + 11.
Substituting x = -3 into r(x), we get:
r(-3) = -4*(-3) + 11
= 12 + 11
= 23
So, r(-3) = 23
The next step is to substitute the value we found for r(-3) into the second function, s(x). The function s(x) is defined as s(x)=-x^3 -5x^2.
So to find s(r(-3)), we substitute r(-3) = 23 into s(x), we get:
s(23) = -(23^3) -5*(23^2)
= -12167 -2645
= -14812
So, s(r(-3)) is -14812. Therefore, when we find the value of r(-3) by substituting -3 into function r(x), and then substitute this value into function s(x), the resultant value is -14812.