Question

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

Answer 1

ANSWER

A) -20x²+14x+12; all real numbers

EXPLANATION

The give functions are;

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

and

$g(x) = 5x - 6$

$(f \times g)(x) = f(x) \times g(x)$

$(f \times g)(x) = ( - 4x - 2)(5x - 6)$

$(f \times g)(x) = - 20 {x}^{2} + 24x - 10x + 12$

$(f \times g)(x) = - 20 {x}^{2} + 14x + 12$

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