# Let #s(x) = x^2 + 2x + 3x# and #t(x) =sqrt( x+4)# how do you find #(s( t)) (6)#?

##### 2 Answers

See below for explanation

#### Explanation:

We have two functions and we have to compose them in the order to find

We note that

We proceed as follows

Then

This question asks for s(t(6)) not s(t)(6)

#### Explanation:

To solve for

let's first find s(t).

Substitute t(x) into s(x):

Simplifying this gives us:

Now, subbing 6 into the X values gives us:

Additional info:

Note that functions like s(t(x)) are called composite functions.