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5 October, 15:04

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

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  1. 5 October, 15:12
    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
  2. 5 October, 15:16
    0
    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!
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