We have that \(3 \cdot f(x) + 4 \cdot g(x) = h(x)\), where f(x),g(x), and h(x) are all polynomials in x. If the degree of f(x) is 8 and the degree of h(x) is 9, then what is the minimum possible degree of g(x)?

The smallest possible degree of g(x) is 7.

How did you get it? I don't want an answer, i want steps please.