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

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25-10-2016
Mathematics

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

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Panoyin Panoyin · Answer 1 · 2016-10-26T00:03:04+02:00

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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