SOLUTION: Suppose that the functions u and w are defined as follows. u(x)=-2x-1 w(x)=2x^2 Find the following. (w*u)(1)= (u*w)(1)=

Algebra.Com
Question 1158977: Suppose that the functions u and w are defined as follows.
u(x)=-2x-1
w(x)=2x^2
Find the following.
(w*u)(1)=
(u*w)(1)=

Answer by Amily_2190(27)   (Show Source): You can put this solution on YOUR website!
(x*y)(z)=(x(y(z)))

(w*u)(1)=(w(u(1)))
u(1)=-2(1)-1=-2-1=-3
w(-3)=2(-3)^2=2(9)=18
(w*u)(1)=18

(u*w)=(u(w(1)))
w(1)=2(1)^2=2(1)=2
u(2)=-2(2)-1=-4-1=-5
(u*w)=-5

RELATED QUESTIONS

Suppose that the functions u and w are defined as follows. u(x)=-2x-2 w(x)=x^2-1 (answered by stanbon)
suppose that the functions u and w are defined as follows. u(x)=-x-1 w(x)=-2x^2+1... (answered by solver91311)
Suppose that the functions u and w are defined as follows. u(x)=(x^2)+1 w(x)=sqrt(x+6) (answered by stanbon)
Suppose that the functions u and w are defined u(x)=2x-2 w(x)=x^2+1 (answered by ikleyn)
Suppose that the functions u and w are defined as follows. u(x)=x^2 +6 w(x)=sqrt(x+9) (answered by MathLover1)
Suppose that the functions u and w are defined as follows. u(x)−2x2... (answered by ikleyn)
Suppose that the functions u and w u(x)= {{{x^2+5}}} w(x)={{{sqrt(x+7)}}} Find the... (answered by Fombitz)
suppose the the functions u and w are defined as follows u(x)=x^2+9 w(x)= square-root (answered by hkwu)
Construct proofs to show the following are valid: 1. ~E 2. F->(DvE) 3. ~D (answered by Edwin McCravy)