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Domain of One Variable Function – Rational function – Exercise 5730

Exercise

Determine the domain of the function:

y=\frac{x^2+3}{2x-1}

Final Answer


x\neq \frac{1}{2}

Solution

Let’s find the domain of the function:

y=\frac{x^2+3}{2x-1}

It is a rational function (a fraction of polynomials). Because there is a denominator, the denominator must be different from zero:

2x-1\neq 0

To get the final answer, isolate x on one side:

2x\neq 1

x\neq \frac{1}{2}

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