SOLUTION: PLEASE HELP! Complete the following steps in the evaluation of composition functions: http://i.imgur.com/GF6gvXN.png

Click here to see ALL problems on Functions

Question 905077: PLEASE HELP!
Complete the following steps in the evaluation of composition functions:
http://i.imgur.com/GF6gvXN.png
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
I'll do part (a) to get you started

(f o g)(x) is the same as f(g(x))

Replace x with 2 to get (f o g)(2) = f(g(2))

So 2 goes in the first box

-------------------------------------------------------

Now we need to compute g(2)

g(x) = 7 - x^2

g(2) = 7 - (2)^2

g(2) = 7 - 4

g(2) = 3

The number 3 goes in the next box

-------------------------------------------------------

So we know f(g(2)) = f(3)

Now we need to find f(3)

f(x) = 2x - 3

f(3) = 2(3) - 3

f(3) = 6 - 3

f(3) = 3

and 3 goes in the last box for part (a)

-------------------------------------------------------

To summarize

(f o g)(2) = f(g(2)) = f(3) = 3