Domain and Range

Question

+1

401

1

+148

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.

powclaire Feb 21, 2021

CubeyThePenguin · Answer 1 · 2021-02-21T01:18:04

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

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

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

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