How to solve function operations

"Given f (x) = 3x + 2 and g (x) = 4 - 5x, find (f + g) (x), (f - g) (x), (f * g) (x), and (f / g) (x).1. = [3x + 2] + [4 - 5x] = 3x + 2 + 4 - 5x. = 3x - 5x + 2 + 4. = - 2x + 6. (f - g) (x) 2. = f (x) - g (x) = [3x + 2] - [4 - 5x] = 3x + 2 - 4 + 5x. = 3x + 5x + 2 - 4. = 8x - 2. 3 ... = (3x + 2) (4 - 5x) = 12x + 8 - 15x2 - 10x. = - 15x2 + 2x + 8. " - Google