Question

Let f(x)=-4x-2 and g(x)=5x-6. Find F×G And state it's domain

A) -20x^2+14x+12; all real numbers

B) 8x^2+34x-30; all real numbers

C) 8x^2+34x-30; all real numbers except x=1

D) -20x^2+14x+12; all real numbers except x=6​

Answer 1

ANSWER

A) -20x²+14x+12; all real numbers

Step-by-step explanation

The give functions are;


`f(x) = - 4x - 2`

and


`g(x) = 5x - 6`


`(f * g)(x) = f(x) * g(x)`


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


`(f * g)(x) = - 20 {x}^(2) + 24x - 10x + 12`


`(f * g)(x) = - 20 {x}^(2) + 14x + 12`

This is a polynomial, hence the domain is all real numbers.