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padilas [110]
3 years ago
14

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

Mathematics
1 answer:
Elena-2011 [213]3 years ago
4 0
       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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