What is the domain of f(x)=sqrt(-10x^2-11x+6) ?

The domain of f(x)=sqrt(-10x^2-11x+6) is -3/2 <= x<= 2/5

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domain of f(x)=sqrt(-10x^2-11x+6)

domain

f (x) = - 10 x^{2} - 11 x + 6

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

Interval Notation

[- \frac{3}{2}, \frac{2}{5}]

Solution steps

Find non-negative values for radicals:

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

The function domain

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

f (x) = \frac{4 - x ^{2}}{x ^{2} - x - 6}

f (x) = \frac{3 x - 1}{2}

3 ln ∣ 3 x - 5 ∣ + 2

f (x) = \frac{x - 1}{x - 1}

y = 3 x^{2} - 18 x + 30

What is the domain of f(x)=sqrt(-10x^2-11x+6) ?
The domain of f(x)=sqrt(-10x^2-11x+6) is -3/2 <= x<= 2/5