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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.

 May 3, 2022
 #1
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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.

 May 3, 2022

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