ninotonky0909p354qp ninotonky0909p354qp
  • 03-01-2021
  • Mathematics
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Find the inverse of the Function
[tex]f(x)=\sqrt[3]{\frac{x}{9} } -4[/tex]

Find the inverse of the Function texfxsqrt3fracx9 4tex class=

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sqdancefan
sqdancefan sqdancefan
  • 03-01-2021

9514 1404 393

Answer:

  D

Step-by-step explanation:

Solve x = f(y) for y.

  x = ∛(y/9) -4

  x +4 = ∛(y/9) . . . . . add 4

  (x +4)³ = y/9 .. . . . . cube

  9(x +4)³ = y . . . . . . multiply by 9

The inverse function is ...

  f⁻¹(x) = 9(x +4)³ . . . . . matches the last choice

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