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I want help with finding the domain of square root function whose radicand is non linear like this:

$$f(x) =\sqrt{\left(\frac{5x+5}{3x-6}\right)}$$

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    Which one of the following do you mean? 1)$\frac{5x+5}{3x-6}$ 2) $5x-\frac{5}{3x-6}$ 3) $\frac{5x+5}{3x} - 6$ or 4) $5x+\frac{5}{3x} - 6$ – 2017-01-07
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    abdilahi If you note the comment from @Arthur, above, the function in the radicand that you wrote is ambiguous. The previous editor chose $(1)$ as the way to interpret the ambiguous function. And it will likely be answered accordingly. – 2017-01-07

1 Answers 1

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For real numbers, $\sqrt{x}$ is defined only for values $x\geq 0$. So you need that $\left(\frac{5x+5}{3x-6}\right)\geq0$. This can be solved with the standard procedures from precalculus.