Respuesta :

Answer:

Required additive inverse is [tex]-7-5i[/tex].

Step-by-step explanation:

Given number is [tex]-7+5i[/tex].

Now we need to find about what is that additive inverse of the given number [tex]-7+5i[/tex].

We know that if complex number is [tex]a+bi[/tex] then it's additive inverse is given by [tex]a-bi[/tex].

Basically we need to change the sign of imaginary term.

imaginary term in given number [tex]-7+5i[/tex] is +5i.

Changing sign of +5i gives -5i.

Hence required additive inverse is [tex]-7-5i[/tex].