Suppose that the functions u and w are defined as follows u(x) = -x-1, w(x)= -2x-4

Question

(u o w) (-1)

(w o u) (-1)

Answer 1

(u o w) = -(w(x)) - 1

(w o u) = -2(u(x)) - 4

Answer 2

u(x)=-x-1

u(-1)=0

w(x)=-2x-4

w(-1)=0

u(w(-1))= u(0)= -1

w(u(-1)=w(0)=- 4

or

u(w(x))= -(-2x-4)-1= 2x+3

u(w(-1))= 2(-1)+3=-1

w(u(x))= w(-x-1)= -2(-x-1)-4=2x-1

w(u(-1))= 2(-1)-1= -3

u(w(x))= (uow)(x)

w(u(x))= (wou)(x)

they're composite functions