Math  /  Word Problems

QuestionFind a domain where the function f(x)=x29f(x)=x^{2}-9 is one-to-one and non-decreasing, then find its inverse.

Studdy Solution
This is the inverse function. We denote the inverse function as f1(x)f^{-1}(x).
f1(x)=x+f^{-1}(x) = \sqrt{x +}The domain where ff is one-to-one and non-decreasing is [0,+)[0, +\infty), and the inverse of ff restricted to that domain is f1(x)=x+f^{-1}(x) = \sqrt{x +}.

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