Domain Of A Root Function

Find the domain of a root function even index taking the even root of a negative number results in a complex or imaginary number. Here are the steps required for finding the domain of a square root function. Examples on how to find the domain of square root functions with solutions example 1 find the domain of function f defined by f x x 1 solution to example 1.

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Hence x 1 0.

Domain of a root function. For f x to have real values the radicand expression under the radical of the square root function must be positive or equal to 0. Finding domain of a function with a square root in the numerator and denominator from rule 6 we know that a function of the form f x sqrt frac g x h x is defined when g x geq0 and h x 0. This function is a root function.

Set the expression inside the square root greater than or equal to zero. Since the function has a radical and the index is even.

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