let f (×)=-5×-3 and g (×)=6×-2. find f×g and its domain

Answer 1

To find the product of f (x) and g (x), we need to multiply the two functions together:

f (x) * g (x) = (-5x - 3) * (6x - 2)

Expanding this product, we get:

= (-5x * 6x) + (-5x * -2) + (-3 * 6x) + (-3 * -2)
= -30x^2 + 10x + (-18x) + 6
= -30x^2 - 8x + 6

Therefore, f (x) * g (x) is equal to -30x^2 - 8x + 6.

Now let's find the domain.

The domain is the set of all possible x-values for which the function is defined. In this case, both f (x) and g (x) are polynomials, which means they are defined for all real numbers.

Thus, the domain of f (x) * g (x) is all real numbers.