Question

If f(x)=3x-1+4 and g(x)=4x-7 what is (f-g)(x)

Answer 1

Answer:
`(f-g)(x)=-x+10`

Explanation:

Given the function f(x):

`f(x)=3x-1+4`

And given the function g(x):

`g(x)=4x-7`

You must subtract both functions is order to find
`(f-g)(x)`.

You need to remember the multiplication of signs:

`(+)(+)=+\\(-)(-)=+\\(+)(-)=-`

Then:

`(f-g)(x)=3x-1+4-(4x-7)`

Now, you must distribute the negative sign:

`(f-g)(x)=3x-1+4-4x+7`

And finally, add the like terms. Then you get that
`(f-g)(x)` is:

`(f-g)(x)=-x+10`