To find (f + g)(x), you need to add the functions f(x) and g(x) together:
f(x) = 6 - 4x
g(x) = -9x + 4
Now, add the functions:
(f + g)(x) = f(x) + g(x)
(f + g)(x) = (6 - 4x) + (-9x + 4)
Now, combine like terms:
(f + g)(x) = 6 - 4x - 9x + 4
Combine the x terms:
(f + g)(x) = (-4x - 9x) + (6 + 4)
Simplify:
(f + g)(x) = -13x + 10
So, (f + g)(x) = -13x + 10.