Hi there! See the Identity below in the box:
[tex] \large \boxed{(f - g)(x) = f(x) - g(x)}[/tex]
We are also given that:
Substitute both values in the equation.
[tex] \large{(f - g)(x) = 0 - (7x + 9)} \\ \large{(f - g)(x) = - (7x + 9)}[/tex]
Recall the property:
- (-)(-) = +
- (+)(+) = +
- (-)(+) = -
- (+)(-) = -
Same sign multiplying the same sign = + while opposite = -
Using the distribution property, distribute the negative sign in 7x+9. Since 7x+9 are positive for both terms - distributing in would turn the expression in negative form.
[tex] \large{(f - g)(x) = - 7x - 9}[/tex]
Hence, the answer is -7x-9.
Questions about the problem and my answer or explanation can be asked through comment.
Furthermore, (f-g)(x) is like a factored form of f(x)-g(x).
Hope this helps, and Happy Learning! :)
