Suppose that the functions u and w are defined as follows : u(x)= x^2+6

w(x)= \sqrt{x+9}

Find the following:
(u o w) (7) =
(w o u) 7) =

(u o w) (7) =  22

(w o u) 7) = 8

Step-by-step explanation:

We are given:

We need to find:

a) (u o w) (7)

First we will find (u o w) (x) and then we will find (u o w) (7)

We know that (u o w) (x) = u(w(x))

Put value of w(x) into u(x)

we have:

Now finding (u o w) (7)

We know that: (u o w) (7) = u(w(7))

So, (u o w) (7) = 22

b) (w o u) (7)

First we will find (w o u) (x) and then we will find (w o u) (7)

We know that (w o u) (x) = w(u(x))

Put value of u(x) into w(x)

we have:

Now finding (w o u) (7)

We know that (w o u) (7) = w(u(7))

So, (w o u) (7) = 8

you can assign any variable for time

Step-by-step explanation: it doesn’t matter what variable you use for anything as long as you remember what it represents (t=time)