Answer:
Option A.
Step-by-step explanation:
The given functions are
[tex]f(x)=3x-1[/tex]
[tex]g(x)=x+2[/tex]
we need to find the function (f-g)(x).
Using the composition of functions the subtraction of two functions is defined as
[tex](f-g)(x)=f(x)-g(x)[/tex]
Substitute the given values of functions f(x) and g(x).
[tex](f-g)(x)=(3x-1)-(x+2)[/tex]
[tex](f-g)(x)=3x-1-x-2[/tex]
On combining line terms we get
[tex](f-g)(x)=(3x-x)+(-1-2)[/tex]
[tex](f-g)(x)=2x-3[/tex]
Therefore, the correct option is A.
