SOLUTION: Let f(x)=x+1 and g(x)=6 /x+1 Find (f*g)(1) Here is what I have, but it seems to be incorrect. Can you please let me know where I've gone wrong? f=1+1 and g=6/1+1 f=2 and g

If you need immediate math help from PAID TUTORS right now, click here. (paid link)
Click here to see ALL problems on Rational-functions

Question 133538This question is from textbook College algebra
: Let f(x)=x+1 and g(x)=6 /x+1
Find (f*g)(1)
Here is what I have, but it seems to be incorrect. Can you please let me know where I've gone wrong?
f=1+1 and g=6/1+1
f=2 and g=6/2
f=2 and g=3
(2*3)=6
This is how I completed this one, but when I took my test, six was not the correct answer. Unfortunately, the correct answer is not given. I am curious to see what I did wrong.This question is from textbook College algebra

Answer by vleith(2517) (Show Source):
You can put this solution on YOUR website!
I think the problem is aksing for (f(g(x)) at the value x =1.
What you need to do is take the function g(x) and use that as the independent variable in f(x). As follows:

Now put the value of g(x) as the independent variable in f(x):

Now you can either solve for f(g(x)) and then sub in 1, or just sub in one and solve. Let's sub in 1:

For your info, generally the function f(g(x)) is written as (fog(x))