SOLUTION: Please explain what I am doing wrong here with these functions and their formuals http://i.imgur.com/y8Z77QJ.png

Algebra ->  Permutations -> SOLUTION: Please explain what I am doing wrong here with these functions and their formuals http://i.imgur.com/y8Z77QJ.png      Log On


   

Question 905093: Please explain what I am doing wrong here with these functions and their formuals
http://i.imgur.com/y8Z77QJ.png
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
(b)

f%28x%29+=+sqrt%28x%2B3%29

f%28g%28x%29%29+=+sqrt%28g%28x%29%2B3%29 replace EVERY x with g(x)

f%28g%28x%29%29+=+sqrt%28x%5E2%2B3%2B3%29 replace g(x) on the right side with x%5E2%2B3

f%28g%28x%29%29+=+sqrt%28x%5E2%2B6%29

which is the answer to part (b)

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

(d)


f%28x%29+=+sqrt%28x%2B3%29

f%28f%28x%29%29+=+sqrt%28f%28x%29%2B3%29 replace EVERY x with f(x)

f%28f%28x%29%29+=+sqrt%28sqrt%28x%2B3%29%2B3%29 replace f(x) on the right side with sqrt%28x%2B3%29

f%28f%28x%29%29+=+sqrt%283%2Bsqrt%28x%2B3%29%29

and you're done