Answer:
(f-g)(x) = x -3 .
Step-by-step explanation:
Given : if f(x) = 3x-2 and g(x) =2x+1 .
To find : find (f-g)(x).
Solution : We have given f(x) = 3x-2 and g(x) =2x+1 .
(f-g)(x) = f(x) - g(x).
Now, plug the values of f(x) and g(x)
(f-g)(x) = 3x-2 - (2x+1 ).
(f-g)(x) = 3x -2 -2x -1.
Combine like terms
(f-g)(x) = 3x -2x -2 -1.
(f-g)(x) = x -3 .
Therefore, (f-g)(x) = x -3 .
