evan27 evan27
  • 25-10-2016
  • Mathematics
contestada

Find a formula for the inverse of the function. f(x)=1-2/x^3.

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Panoyin
Panoyin Panoyin
  • 26-10-2016
       f(x) = 1 - ²/ₓ₃
          y = 1 - ²/ₓ₃
          y = 1 - ²/ₓ₃
      y - 1 = ⁻²/ₓ₃
      x - 1 = -2/y³
 y³(x - 1) = -2
         y³ = ⁻²/ₓ₋₁
          y = ∛⁻²/ₓ₋₁
          y = -∛(2x² - 4x + 2)/x - 1
      f⁻¹(x) = -∛(2x² - 4x + 2)/x - 1
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