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

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.

Domain of a rational function with a square root in the denominator. This precalculus video tutorial explains how to find the domain of a square root function. Domain the domain of a rational function is all real values except where the denominator q x 0. The acceptable values under the square root are zero and positive numbers. Thank you so much.

Write your answer using interval notation. Solution domain 1 è 1 2 è 2 roots the roots zeros solutions x intercepts of the rational function can be found by solving. So i will let the stuff inside the radical equal or greater than zero and then solve for the required inequality. P x 0 this roots can be found usually by factorizing p x.

For a rational function the denominator cannot be zero and for radical functions the value inside the radical cannot be negative. How would i find the domain of f x 1 sqrt 5 x 1. Solve the equation found in step 1. Example find the domain of.

A rational function is simply a fraction and in a fraction the denominator cannot equal zero because it would be undefined. Just like in our previous examples i will graph the function to determine the range. It also contains examples and practice problems showing you how to. Now the domain of the function is x 5.