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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​

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ANSWER

A) -20x²+14x+12; all real numbers

EXPLANATION

The give functions are;

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

and

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

[tex](f \times g)(x) = f(x) \times g(x)[/tex]

[tex](f \times g)(x) = ( - 4x - 2)(5x - 6)[/tex]

[tex](f \times g)(x) = - 20 {x}^{2} + 24x - 10x + 12[/tex]

[tex](f \times g)(x) = - 20 {x}^{2} + 14x + 12[/tex]

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

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