andre21210 andre21210
  • 04-08-2015
  • Mathematics
contestada

Let f(x) = x2 - 81. Find f-1(x).

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JaySL JaySL
  • 04-08-2015
This is equivalent to finding a function g in which [tex]g(x^2-81)=x[/tex].

We simply reverse the actions of the initial function by adding 81 back and taking the square root.  Therefore, [tex]f^{-1}(x)=\sqrt{x+81}[/tex].
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