f(x)=2x-3
g(x)=3x-1
Find (f x g)(x).
To find (f x g)(x), we need to find the composition of f and g.
(f x g)(x) = f(g(x))
Substituting g(x) into f(x), we get:
f(g(x)) = 2(g(x)) - 3
Since g(x) = 3x - 1, we substitute it into the expression:
f(g(x)) = 2(3x - 1) - 3
Expanding and simplifying, we get:
f(g(x)) = 6x - 2 - 3
Combine like terms:
f(g(x)) = 6x - 5
Therefore, (f x g)(x) = 6x - 5.