According to the complex conjugated theory if - 3+i is a riot of a function what else is a root?

[tex]-3-i[/tex]

Step-by-step explanation:

Complex conjugate root theorem states that if a+bi is a root for a function then its complex conjugate a-bi is also a root of the function.

Now given that - 3+i is the root of a function.

The complex conjugate of the above complex number is - 3-i.

(∵ Complex conjugate can be obtained by simply substituting i with - i in the given complex number)

By complex conjugate root theorem its complex conjugate - 3-i is also a rot of the function.