SOLUTION: Suppose that the functions u and w are defined as follows. u(x)=x^2 +6 w(x)=sqrt(x+9) Find the following. (wou)(7) (uow)(7)

Algebra ->  Functions -> SOLUTION: Suppose that the functions u and w are defined as follows. u(x)=x^2 +6 w(x)=sqrt(x+9) Find the following. (wou)(7) (uow)(7)      Log On


   

Question 1179582: Suppose that the functions u and w are defined as follows.
u(x)=x^2 +6
w(x)=sqrt(x+9)
Find the following.
(wou)(7)
(uow)(7)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

u%28x%29=x%5E2+%2B6
w%28x%29=sqrt%28x%2B9%29
Find the following:
(w+o u)%287%29
(u o w)%287%29

(w+o u)%28x%29=w%28u%28x%29%29
(w+o u)%28x%29=w%28x%5E2+%2B6%29
(w+o u)%28x%29=sqrt%28x%5E2+%2B6%2B9%29
(w+o u)%28x%29=sqrt%28x%5E2+%2B15%29
then
(w+o u)%287%29=sqrt%287%5E2+%2B15%29
(w+o u)%287%29=sqrt%2849+%2B15%29
(w+o u)%287%29=sqrt%2864%29
(w+o u)%287%29=8

(u o w)%28x%29=u%28w%28x%29%29
(u o w)%28x%29=u%28sqrt%28x%2B9%29%29
(u o w)%28x%29=%28sqrt%28x%2B9%29%29%5E2%2B6
(u o w)%28x%29=x%2B9%2B6
(u o w)%28x%29=x%2B15
then
(u o w)%287%29=7%2B15
(u o w)%287%29=22