Question

If f(x) = 3x - 1 and g(x) = x + 2, find (f- g)(x).
I can’t find it

Answer 1

`(f-g)(x)=2x-3`

Explanation:

We are given the two functions:

`f(x)=3x-1\text{ and } g(x)=x+2`

And we want to find:

`(f-g)(x)`

This is equivalent to:

`=f(x)-g(x)`

By substitution:

`=(3x-1)-(x+2)`

Simplify. Distribute:

`=(3x-1)+(-x-2)`

Rearrange:

`=(3x-x)+(-1-2)`

Therefore:

`(f-g)(x)=2x-3`