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Domain of function with square root. Set the expression inside the square root greater than or equal to zero. Find the domain of. X ge 0.
We first need to understand that sqrt x is real only if the argument x which is the quantity under the radical sqrt satisfies the condition. Finding domain of a function with a square root in the numerator and denominator. This can easily be verified by examining the graph of y sqrt x shown below.
How to find the domain of a square root function. If the square root is in numerator we need to equate the expression inside the radical sign to 0. To find the domain of a square root function we need to follow the steps given below.
Part 1 domain of rational function fractions only without square. The range of values of 16 x 2 for x in the interval 4 4 domain is given by the interval 0 16 since the graph is a parabola with a maximum at the point 0 16. 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.
The graph exists only for x ge 0. If the square root is in denominator we need to equate the expression inside the radical sign to 0. The given function is the square root of 16 x 2 and therefore has the range defined by the interval 0 16 0 4.
Example 1 find the domain of the function. For f x to be defined 3 x neq 0. The video explains how to find the domain of function with square root in the numerator.
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