Question

The functions r and s are defined as follows.r(x) = –2x+2s(x) = -2x2-2Find the value of r (s (2)).r(s (2)) = Ï

Answer 1

The first step to solve this problem and find the value of "s(2)", this is the value of the expresion for "s(x)" when x = 2. We have:

$\begin{gathered} s(2)=-2\cdot2^2-2 \\ s(2)=-2\cdot4-2 \\ s(2)=-8-2=-10 \end{gathered}$

We can now calculate the value for "r(s(2))", we need to apply the value of s(2) on the expression for "r(x)". We have:

$\begin{gathered} r(s(2))=-2\cdot x+2 \\ r(s(2))=-2\cdot(-10)+2 \\ r(s(2))=20+2=22 \end{gathered}$

The value of "r(s(2))" is equal to 22