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Find the inverse of f(x)

Find The Inverse Of Fx class=

Sagot :

sqdancefan

Answer:

  B. f^-1(x) = x³ -10

Step-by-step explanation:

You want the inverse of the function f(x) = ∛(x +10).

Function inverse

To find the inverse of the function y = f(x), solve for y:

  x = f(y)

Application

  x = f(y)

  x = ∛(y +10) . . . . . . . use y as the argument of f(x)

  x³ = y +10 . . . . . . . . cube both sides

  x³ -10 = y . . . . . . . . subtract 10

The inverse function is ...

  [tex]\boxed{f^{-1}(x)=x^3-10}[/tex]

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