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Let r(x)=-4x+11 and s(x)=-x^(3)-5x^(2), find the value of s(r(-3)).

User Foti Dim
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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.

User Mglmnc
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