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# Domain and Range

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Find the domain of the real-valued function

$$f(x)=\sqrt{-10x^2-11x+6}.$$

Give the endpoints in your answer as common fractions, not mixed numbers or decimals.

Feb 21, 2021

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$$-10x^2 -11x + 6 \geq 0$$

$$-(2x+3)(5x-2) \geq 0$$

$$\boxed{-\frac{3}{2} \leq x \leq \frac{2}{5}}$$

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Feb 21, 2021