3 years ago

If f(x) = x + 1/x, find f(1+3i)

Mathematics

2 answers:

lord [1]3 years ago

8 0

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

kirza4 [7]3 years ago

6 0

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

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