gtajphillips gtajphillips

03-03-2019
Mathematics

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FIND the inverse of f(x)= -6 -x^1/3

f^-1 (x) =

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remotecontrolbrain remotecontrolbrain

03-03-2019

Answer:

[tex]f^{-1}(x) = - (x+6)^3[/tex]

Step-by-step explanation:

Use the x-swap-y method to find the inverse:

[tex]y = -6 -x^{1/3}\\x\leftrightarrow y\\x = -6-y^{1/3}\,\,\,\mbox{and solve for y:}\\-x-6=y^{1/3}\\(-(x+6))^{3}=y\\y = - (x+6)^3[/tex]

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