Suppose that the functions $\dot{u}$ and $w$ are
\[
\begin{array}{l}
u(x)=5 x+4 \\
w(x)=-3 x-3
\end{array}
\]

Find the following.
\[
\begin{array}{l}
(u \circ w)(-3)= \\
(w \circ u)(-3)=
\end{array}
\]

Answer

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Answer

$(w \circ u)(-3) = \boxed{30}$

Steps

Step 1 ：$w(-3) = -3*(-3) - 3 = 9 - 3 = 6$

Step 2 ：$u(6) = 5*6 + 4 = 30 + 4 = 34$

Step 3 ：$(u \circ w)(-3) = \boxed{34}$

Step 4 ：$u(-3) = 5*(-3) + 4 = -15 + 4 = -11$

Step 5 ：$w(-11) = -3*(-11) - 3 = 33 - 3 = 30$

Step 6 ：$(w \circ u)(-3) = \boxed{30}$