For this case we have given two functions, f (x) and g (x).
So:
[tex](f-g) (x) = f (x) -g (x)[/tex]
We have:
[tex]f (x) = 2x-6\\g (x) = 3x + 9[/tex]
So:
[tex](f-g) (x) = 2x-6- (3x + 9)[/tex]
Taking into account that [tex]- * + = -[/tex]
[tex](f-g) (x) = 2x-6-3x-9[/tex]
Different signs are subtracted and the sign of the major is placed.
[tex](f-g) (x) = - x-15[/tex]
Answer:
[tex](f-g) (x) = - x-15[/tex]
Option D
