f(x) = -2x2 + 3x - 4g(x) = 3x2 - 6what is f(x) x g(x)

To find the product of two functions, f(x) and g(x), we simply multiply them together.

f(x) = -2x^2 + 3x - 4 g(x) = 3x^2 - 6

So, f(x) * g(x) = (-2x^2 + 3x - 4) * (3x^2 - 6)

Now, we distribute each term in the first function to each term in the second function:

= -2x^2 * 3x^2 - 2x^2 * -6 + 3x * 3x^2 - 3x * -6 - 4 * 3x^2 + 4 * 6

Simplify each term:

= -6x^4 + 12x^2 + 9x^3 - 18x - 12x^2 + 24

Combine like terms:

= -6x^4 + 9x^3 - 18x + 24

So, f(x) * g(x) = -6x^4 + 9x^3 - 18x + 24