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].