Find the domain of the real-valued function
f(x) = -sqrt(-10x^2 - 4x + 6)
Give the endpoints in your answer as common fractions, not mixed numbers or decimals.
If there is a square root, the expression inside is nonnegative.
Then \(-10x^2 - 4x + 6 \geq 0\). Solving this inequality gives the domain of f(x) in the form of compound inequality. You can then rewrite the compound inequality in interval notation.
