Find the multiplicative inverse of 3 − 2i. verify that your solution is corect by confirming that the product of
3 − 2i and its multiplicative inverse is 1.
2. what

Step-by-step explanation:

The multiplicative inverse of a complex number y  is the complex number z such that (y)(z) = 1

So for this problem we need to find a number z such that

(3 - 2i) ( z ) = 1

If we take z =

We have that

would be the multiplicative inverse of 3 - 2i

But remember that 2i = √-2 so we can rationalize the denominator of this complex number

Thus, the multiplicative inverse would be

The problem asks us to verify this by multiplying both numbers to see that the answer is 1:

Let's multiplicate this number by 3 - 2i to confirm:

Thus, the number we found is indeed the multiplicative inverse of  3 - 2i

-14 is the answer

hope this : ))