Answer:
(f-g)(x) = -6x^3 + 8x^2 + 4x - 4
Explanation:
subtract g(x) from f(x)
(f-g)(x) = (3x^2 + 4x - 6) - (6x^3 - 5x^2 -2)
distribute the negative
(f-g)(x) = 3x^2 + 4x - 6 - 6x^3 + 5x^2 +2
like terms and in order of exponent
(f-g)(x) = -6x^3 + 8x^2 + 4x - 4