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