Answer:
[tex](u \circ w)(2) = -34[/tex]
[tex](w \circ u) = -49[/tex]
Step-by-step explanation:
We are given these following functions:
[tex]u(x) = 4x + 2[/tex]
[tex]w(x) = -5x + 1[/tex]
The first step to solve this question is finding the composite functions. So
[tex](u \circ w)(x) = u(w(x)) = u(-5x+1) = 4(-5x + 1) + 2 = -20x + 6[/tex]
[tex](w \circ u)(x) = w(u(x)) = w(4x + 2) = -5(4x+2) + 1 = -20x - 9[/tex]
At x = 2
Now we replace x by 2 in each of the functions. So
[tex](u \circ w)(2) = -20(2) + 6 = -40 + 6 = -34[/tex]
[tex](w \circ u)(2) = -20(2) - 9 = -40 - 9 = -49[/tex]
