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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
 #1
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\(-10x^2 -11x + 6 \geq 0\)

 

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

 

\(\boxed{-\frac{3}{2} \leq x \leq \frac{2}{5}}\)

.
 Feb 21, 2021

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