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.
\(-10x^2 -11x + 6 \geq 0\)
\(-(2x+3)(5x-2) \geq 0\)
\(\boxed{-\frac{3}{2} \leq x \leq \frac{2}{5}}\)
.