Answer: [tex](f-g)(x)=-x+10[/tex]
Step-by-step explanation:
Given the function f(x):
[tex]f(x)=3x-1+4[/tex]
And given the function g(x):
[tex]g(x)=4x-7[/tex]
You must subtract both functions is order to find [tex](f-g)(x)[/tex].
You need to remember the multiplication of signs:
[tex](+)(+)=+\\(-)(-)=+\\(+)(-)=-[/tex]
Then:
[tex](f-g)(x)=3x-1+4-(4x-7)[/tex]
Now, you must distribute the negative sign:
[tex](f-g)(x)=3x-1+4-4x+7[/tex]
And finally, add the like terms. Then you get that [tex](f-g)(x)[/tex] is:
[tex](f-g)(x)=-x+10[/tex]
