SOLUTION: If F(x)=3x-2 and g(x)= 2x-1, then g(f(x)) is equal to what? thank you, your help is very much appreciated.

Algebra ->  Functions -> SOLUTION: If F(x)=3x-2 and g(x)= 2x-1, then g(f(x)) is equal to what? thank you, your help is very much appreciated.      Log On


   

Question 278657: If F(x)=3x-2 and g(x)= 2x-1, then g(f(x)) is equal to what?

thank you, your help is very much appreciated.
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
g(f(x)) means that the function g is composed at the function f.
You need to plug the value of f(x) into the function g and simplify.
g(x) = 2x - 1
Replace x with the value of f(x) which is 3x - 2 and simplify.
g(f(x)) = 2x - 1
g(3x - 2) = 2(3x - 2) - 1
g(3x - 2) = 6x - 4 - 1
g(3x - 2) = 6x - 5
So, g(f(x)) = 6x - 5