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

Question

asked Apr 16, 2020 178k views

1 Answer

Caduchon · Answer 1 · 2020-04-21T07:27:33+0000

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