Respuesta :

wegnerkolmp2741o

Answer:

-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

luisejr77

Answer:

[tex](f*g)(x)=-20x^2+14x+12[/tex]

Domain: All Real Numbers.

Step-by-step explanation:

Given the function f(x):

[tex]f(x) = -4x - 2[/tex]

And the function g(x):

[tex]g(x) = 5x - 6[/tex]

You need to multiply them. Then:

[tex](f*g)(x)=( -4x - 2)( 5x - 6)\\\\(f*g)(x)=-20x^2+24x-10x+12\\\\(f*g)(x)=-20x^2+14x+12[/tex]

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 [tex](f*g)(x)=-20x^2+14x+12[/tex] is ALL REAL NUMBERS.

 

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