Question

what is the additive inverse of the complex number (9 - 4i)?

-9 - 4i
-9 + 4i
9 - 4i
9 + 4i

Explanation:

Define the additive inverse of a complex number

$$ -(a + bi) = -a - bi $$

Apply the definition to the given complex number

$$ -(9 - 4i) = -9 + 4i $$

Answer:

• -9 - 4i
• -9 + 4i (Correct answer)
• 9 - 4i
• 9 + 4i