Answer:
b) [tex]12x^2-48x+21[/tex] ; all real numbers
Step-by-step explanation:
f and g are polynomials and polynomials have domain all real numbers.
This is because when you input any number there will always be a existing output. There are no restrictions on what you can plug into a polynomial.
So the answer is either b or c.
[tex](f \times g)(x)=f(x) \times g(x)[/tex]
[tex](f \times g)(x)=(-2x+7) \times (-6x+3)[/tex]
[tex]f \times g)(x)=(-2x+7)(-6x+3)[/tex]
Let's use foil!
First: [tex]-2x(-6x)=12x^2[/tex]
Outer: [tex]-2x(3)=-6x[/tex]
Inner: [tex]7(-6x)=-42x[/tex]
Last: [tex]7(3)=21[/tex]
-----------------------------Add like terms:
[tex]12x^2-48x+21[/tex]
The answer is b.
