Can you check my work and tell me if I did anything wrong?

1. With the functions: f(x) = x^2 + 3x and g(x) = -3 + x what is f(x) + g(x)?

Answer: x^2 + 4x - 3

2. With the functions: f(x) = x + 4 and g(x) = x -3 what is (f*g)(x)?

Answer: x^2 + x - 12

3. With the functions: f(x) = x^2 - 9 and g(x) = x - 3 what is (f/g)(x)?

Answer:x - 3

4. With the functions: f(x) = a^2 - 2ab + b^2c and g(x) = -3b^2c + 6ab what is (f-g)(x)?

Answer: a^2 - 8ab + 4b^2c

2 answers

#1 ok
#2 ok

#3 Almost
x^2-9 = (x+3)(x-3)
divide by (x-3) and you are left with (x+3)

#4 ok
Thank you! (: