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Svetradugi [14.3K]
3 years ago
14

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

Mathematics
1 answer:
dusya [7]3 years ago
7 0
This is equivalent to finding a function g in which g(x^2-81)=x.

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