For this case, we have that by definition, be given two functions f (x) and g (x). So:
[tex](f-g) (x) = f (x) -g (x)[/tex]
We have:[tex]f (x) = - 3x-5\\g (x) = 4x-2[/tex]
So:
(f-g) (x) = - 3x-5- (4x-2)
We have to:
[tex]- * + = -\\(f-g) (x) = - 3x-5-4x + 2[/tex]
Equal signs are added and the same sign is placed while different signs are subtracted and the sign of the greater is placed
[tex](f-g) (x) = - 7x-3[/tex]
Answer:
Option D
