Question: Suppose that the functions u and ware defined as follows. u (x) =-x+1 w (x) = -2x-+2 Find the following. (w ou) (-4) = 1

Suppose that the functions u and ware defined as follows. u (x) =-x+1 w (x) = -2x-+2 Find the following. (w ou) (-4) = 1 (u . W) (-4) = 0 X 5The current problem: We are given the functions u (x) = -x +1 and w (x) = -2x- +2. We need to find the values (wou) (-4) and (uow) (-4). .(wou) (-4) = w(u(-4)) By definition of wow = w (5) Because u (-4) = -(-4)+1 =5 = -2(52) +2 = -48 .(uow) (-4) = u(w(-4)) By definition of u ow = u (-30) Because w (-4) = -2((-4)2)+2 =-30 = - (-30)+1 = 31 ANSWER (wou) (-4) = -48 (uow) (-4) =31 As we see, it may not be that (fog) (x) = (gof) (x) for given f, g, and x

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