Let f(x) = -4x - 2 and g(x) = 5x - 6. find f⋅g and state its domain.

-20x^2 +14x+12

The domain of f*g is all real numbers

Step-by-step explanation:

f(x) = -4x - 2

g(x) = 5x - 6.

f*g = (-4x-2) * (5x-6)

FOIL

first -4x*5x = -20x^2

outer -4x*-6 = 24x

inner -2*5x = -10x

last -2 *-6 = 12

Add them together

-20x^2 +24x-10x+12 = -20x^2 +14x+12

The domain of f is all real numbers, the domain of g is all real numbers

The domain of f*g is all real numbers

Domain: All Real Numbers.

Step-by-step explanation:

Given the function f(x):

And the function g(x):

You need to multiply them. Then:

Since we know that the domain is the set of all real values of the variable "x" that will give real values for the variable "y", the domain of is ALL REAL NUMBERS.