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If f(x) = x³ - (1/x³), then f(x) + f(1/x) is equal to ____?
  1. 0
  2. 2/x³
  3. 2x³
  4. None of these
Explanation

Given f(x) = x³ - (1/x³):

f(1/x) = (1/x)³ - (1/(1/x)³) = (1/x³) - x³

Now, let's calculate f(x) + f(1/x):

f(x) + f(1/x) = (x³ - 1/x³) + (1/x³ - x³)

= x³ - x³ - 1/x³ + 1/x³

= 0

Related MCQs

  1. x = 2, x = −3
  2. x = −2, x = 3
  3. x = 3/2, x = −4
  4. None of these
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  1. Odd function
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  1. x = 2, −1/2
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  1. Commutative
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