f(x) = x + 1/x
f(1 + 3i), lets just sub x by 1 + 3i
f(1 + 3i) = 1 + 3i + 1/(1 + 3i)
Doing the sum (1 + 3i) + 1/(1 + 3i) we get ((1 + 3i)² + 1)/(1 + 3i)
So:
f(1 + 3i) = (1 + 2.1.3i + 9i² + 1)/(1 + 3i)
f(1 + 3i) = (6i - 7)/(1 + 3i)
f(1 + 3i) = 11/10 + 27i/10
Answer:
Step-by-step explanation:
f(1+3i)=(1+3i)+1/(1+3i)
=1+3i+1/(1+3i)
=((-8+6i)+1)/(1+3i)
=(6i-7)/(1+3i)
=-25-15i
Vote as brainliest!
