Find the following (u•w)(2)= (w•u)(2)=

Question

asked Sep 28, 2022 151k views

1 Answer

Lemondoge · Answer 1 · 2022-10-04T01:21:24+0000

Answer:

$(u \circ w)(2) = -34$

$(w \circ u) = -49$

Explanation:

We are given these following functions:

u(x) = 4x + 2

w(x) = -5x + 1

The first step to solve this question is finding the composite functions. So

$(u \circ w)(x) = u(w(x)) = u(-5x+1) = 4(-5x + 1) + 2 = -20x + 6$

$(w \circ u)(x) = w(u(x)) = w(4x + 2) = -5(4x+2) + 1 = -20x - 9$

At x = 2

Now we replace x by 2 in each of the functions. So

$(u \circ w)(2) = -20(2) + 6 = -40 + 6 = -34$

$(w \circ u)(2) = -20(2) - 9 = -40 - 9 = -49$