The additive inverse of a number is what you add to that number to get zero. For \(-75\), the additive inverse is:
\[ -(-75) = 75 \]
The multiplicative inverse of a number is what you multiply that number by to get one. For \(-75\), the multiplicative inverse is:
\[ \frac{1}{-75} = -\frac{1}{75} \]
So, the additive inverse of \(-75\) is \(75\), and the multiplicative inverse is \(-\frac{1}{75}\).