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

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04-08-2015
Mathematics

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

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JaySL JaySL · Answer 1 · 2015-08-04T03:27:18+02:00

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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