👉 Learn how to find the domain of rational functions with radicals in both the numerator and the denominator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero and for radical functions, the value inside the radical cannot be negative. Thus, to find the domain of a rational function with radicals in both the numerator and the denominator, we set up the value inside the radical numerator as an inequality greater than or equal to 0 and solve the inequality for the variable. We also set up the value inside the radical denominator as an inequality (strictly) greater than 0 and solve the inequality for the variable. The set of values satisfying both inequalities is zero is the required domain.
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✅ How to find the domain of a function
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✅Domain of a function with square root | Medium
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✅Domain of a function with square root | Quadratic
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✅Domain of a function with square root | Easy
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✅Domain of a function with square root | Hard
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✅Domain of a function with a fraction | Hard
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✅Domain of a function with a fraction | Easy
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✅Domain of a function with a fraction | Quadratic
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✅Domain of a function with a fraction | Medium
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✅Domain of a function with a fraction | Linear
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✅Domain of a function with a square root in the denominator
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✅Domain of a function with a square root in the numerator
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✅Domain of a function with a square root in the numerator and denominator
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