Exercise
Determine the domain of the function:
y=\frac{x^2+3}{2x-1}
Final Answer
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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