Domain Of Function With Square Root In Denominator

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Domain of function with square root in denominator. A function with a fraction with a variable in the denominator. Hence x 1 0 the solution set to the above inequality is the domain of f x and is given. The domain calculator allows you to take a simple or complex function and find the domain in both interval and set notation instantly.

To find the domain of this type of function set the bottom equal to zero and exclude the x value you find when you solve the equation. Find the domain and range of the radical function the acceptable values under the square root are zero and positive numbers. From rule 4 we know that a function of the form f x frac g x sqrt h x is defined when h x 0.

So i will let the stuff inside the radical equal or greater than zero and then solve for the required inequality. For f x to be defined 1 x 0. Since there is a square root in a denominator the denominator can t equal 0 and the radicand cannot be negative.

Domain is the set of all permissible x values. Therefore x 4 0 so x 4. Click the blue arrow to submit and see the result.

Now the domain of the function is x 5. 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. I need to find the domain of this function.

For this type of function the domain is all real numbers. If you have a square root you must set what s under the radical to be greater than or equal to zero. A function with a variable inside a radical sign.