SOLUTION: Functions help! f º g, f º f http://i.imgur.com/XA9HOe0.png Please explain thank you

Algebra ->  Functions -> SOLUTION: Functions help! f º g, f º f http://i.imgur.com/XA9HOe0.png Please explain thank you      Log On


   

Question 904412: Functions help! f º g, f º f
http://i.imgur.com/XA9HOe0.png
Please explain thank you
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = sqrt%28x%2B3%29

g(x) = x%5E2+%2B+3

f(g(x)) = sqrt%28%28x%5E2%2B3%29%2B3%29 which is equal to sqrt%28x%5E2%2B6%29

you are replacing x with x%5E2+%2B+3 in order to get f(g(x)).

g(f(x)) = sqrt%28x%2B3%29%5E2%2B3 which is equal to %28x%2B3%29%2B3 which is equal to x%2B6

you are replacing x with sqrt%28x%2B3%29 in order to get g(f(x)).