Domain Of A Rational Function With A Square Root In The Denominator

Just like in our previous examples i will graph the function to determine the range.

Domain of a rational function with a square root in the denominator. How would i find the domain of f x 1 sqrt 5 x 1. Example find the domain of. Now the domain of the function is x 5.

How do you find the domain of a rational function with a square root in the denominator. The acceptable values under the square root are zero and positive numbers. P x 0 this roots can be found usually by factorizing p x.

A rational function is simply a fraction and in a fraction the denominator cannot equal zero because it would be undefined. This precalculus video tutorial explains how to find the domain of a square root function. So i will let the stuff inside the radical equal or greater than zero and then solve for the required inequality.

Thank you so much. Solve the equation found in step 1. F x 1 5 x 1 f x is a fraction and as such the denominator cannot equal zero lest division by zero occurs which is undefined.

Thus to find the domain of a rational function with a radical. It also contains examples and practice problems showing you how to. Write your answer using interval notation.

Domain the domain of a rational function is all real values except where the denominator q x 0.