Respuesta :

nancyyy54
(F.g)(x)= (x^2+2x-5)(2x+4)

(F.g)(x)= 2x^3+4x^2+4x^2+8x-10x-20

(F.g)(x)= 2x^3+8x^2-2x-20=> C

The product of f(x) and g(x) is 2x³ + 8x² − 2x − 20. Then the correct option is C.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

If f(x) = x² + 2x − 5 and g(x) = 2x + 4.

We have to determine the f(x) × g(x)

(x² + 2x − 5) × (2x + 4)

2x³ + 4x² + 4x² + 8x − 10x − 20

2x³ + 8x² − 2x − 20

Thus, the product of f(x) and g(x) is 2x³ + 8x² − 2x − 20. Then the correct option is C.

More about the function link is given below.

https://brainly.com/question/5245372