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18 July, 18:29

If f (x) = x3 - 2x2, which expression is equivalent to f (i) ?

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  1. 18 July, 18:52
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    We have to find f (i) for the function: f (x) = x³ - 2 x²

    f (i) = i³ - 2 i²

    We know that: i² = - 1 and i³ = - i

    f (i) = - i - 2 · ( - 1)

    f (i) = - i + 2

    The complex number is written in form: z = a + b i

    Answer:

    f (i) = 2 - i
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