Answer:
[tex](f-g)(x)=2x-3[/tex]
Step-by-step explanation:
The correct question is
If f(x)=3x-1 and g(x)=x+2, find (f-g)(x)
we know that
(f-g)(x) is equal to subtract the function g(x) from the function f(x)
so
[tex](f-g)(x)=f(x)-g(x)[/tex]
substitute the given functions
[tex](f-g)(x)=(3x-1)-(x+2)[/tex]
Remove the parenthesis
[tex](f-g)(x)=3x-1-x-2)[/tex]
Combine like terms
[tex](f-g)(x)=2x-3[/tex]