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

$(w \circ u) (- 3) = 30$

Steps

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

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

Step 3 ： $(u \circ w) (- 3) = 34$

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

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

Step 6 ： $(w \circ u) (- 3) = 30$