SOLUTION: I am trying to work a problem and not sure if I am on the right track. The problem is: f(x)= 3x/x+2 and g(x)= 2x+1/2 I am trying to figure the following f o g(2) and

Algebra ->  Rational-functions -> SOLUTION: I am trying to work a problem and not sure if I am on the right track. The problem is: f(x)= 3x/x+2 and g(x)= 2x+1/2 I am trying to figure the following f o g(2) and       Log On


   

Question 210110: I am trying to work a problem and not sure if I am on the right track.
The problem is: f(x)= 3x/x+2 and g(x)= 2x+1/2
I am trying to figure the following f o g(2) and g o f(2)
I have tried multiple times and am still confused as to how I am to set this up. So far, I have f(g(2))= 2(2)+1/2 = 5/2 but I am not sure if this is correct. I have reviewed and read but still am confused.
Thanks - Lori
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
with f(g(2)), first find g(2). Whatever that number is, simply plug it into x of f(x) to find f(g(2))


In other words, g%282%29=%282%282%29%2B1%29%2F2=%284%2B1%29%2F2=5%2F2


Now plug in x=5%2F2 into f%28x%29=%283x%29%2F%28x%2B2%29 to get: f%285%2F2%29=%283%285%2F2%29%29%2F%285%2F2%2B2%29


From there, simply the right side any way you can to get the final answer of f(g(2)). Do the same (but in reverse order) for g o f(2)