JohanGigme JohanGigme
  • 01-10-2020
  • Mathematics
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If f(x) = 1 – x, which value is equivalent to |f(i)|?

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mariocarrasco587
mariocarrasco587 mariocarrasco587
  • 01-10-2020

Answer:

We have to determine which value is equivalent to | f ( i ) | if the function is: f ( x ) = 1 - x. We know that for the complex number: z = a + b i , the absolute value is: | z | = sqrt( a^2 + b^2 ). In this case: | f ( i )| = | 1 - i |. So: a = 1, b = - 1. | f ( i ) | = sqrt ( 1^2 + ( - 1 )^2) = sqrt ( 1 + 1 ) = sqrt ( 2 ). Answer: C. sqrt( 2 )

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