Question

suppose that the functions u and w are defined as follows.
u(x) = 2x + 1
w(x) = -5x - 4
find the following.
(wcirc u)(3) =
(ucirc w)(3) =

Explanation:

Step1: Evaluate $u(3)$

$u(3)=2(3)+1=7$

Step2: Evaluate $w(3)$

$w(3)=-5(3)-4=-19$

Step3: Calculate $(w \cdot u)(3)$

$(w \cdot u)(3)=w(3) \cdot u(3)=(-19) \times 7=-133$

Step4: Calculate $(u \cdot w)(3)$

$(u \cdot w)(3)=u(3) \cdot w(3)=7 \times (-19)=-133$

Answer:

$(w \cdot u)(3) = -133$
$(u \cdot w)(3) = -133$