Question

m(x) = x² + 4x
n(x) = x
(mn)(x) =
○ x² + 4x(x)
○ (x² + 4x)(x)

Explanation:

Step1: Recall the definition of function multiplication

When we have two functions \( m(x) \) and \( n(x) \), the product function \( (mn)(x) \) is defined as \( m(x) \times n(x) \).

Step2: Substitute the given functions

We know that \( m(x)=x^{2}+4x \) and \( n(x)=x \). So, substituting these into the definition of the product function, we get \( (mn)(x)=m(x)\times n(x)=(x^{2}+4x)(x) \).

Answer:

(x² + 4x)(x) (the second option)