SOLUTION: Can someone please help me solve this problem: For what value of k is f(g(x)) = g(f(x))? f(x)=3x+k and g(x)=x-4/3 I think when k is found we inverse it but I am dr

Algebra ->  Functions -> SOLUTION: Can someone please help me solve this problem: For what value of k is f(g(x)) = g(f(x))? f(x)=3x+k and g(x)=x-4/3 I think when k is found we inverse it but I am dr      Log On


   

Question 42719This question is from textbook college algebra
: Can someone please help me solve this problem:
For what value of k is f(g(x)) = g(f(x))?
f(x)=3x+k and g(x)=x-4/3
I think when k is found we inverse it but I am drawing a blank - please help This question is from textbook college algebra

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
For the functions
f(x) = 3x + k and g(x) = x - 4/3
we plug them into
f(g(x)) = g(f(x))
and find the k that makes them equal...so we get
f(x - 4/3) = g(3x + k)
3(x - 4/3) + k = 3x + k - 4/3
3x - 4 + k = 3x + k - 4/3
-4 = -4/3
There is no solution.
I have a feeling the problem has been described incorrectly...please have another look and resubmit it...