Math  /  Calculus

Question Find the inverse of x3\sqrt{x-3} and determine its domain, including any restrictions from the original function.

Studdy Solution
This means that the original function f(x)=x3f(x)=\sqrt{x-3} is defined for all xx greater than or equal to3. This restriction is inherited by the inverse function. So, the domain of the inverse function f(x)=x2+3f^{-}(x)=x^2+3 is all xx greater than or equal to3.
In conclusion, the inverse function of f(x)=x3f(x)=\sqrt{x-3} is f(x)=x2+3f^{-}(x)=x^2+3 and its domain is all xx greater than or equal to3.

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