What is the domain of sqrt(1-4x^2) ?

The domain of sqrt(1-4x^2) is -1/2 <= x<= 1/2

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domain of sqrt(1-4x^2)

domain

1 - 4 x^{2}

- \frac{1}{2} \leq x \leq \frac{1}{2}

Interval Notation

[- \frac{1}{2}, \frac{1}{2}]

Solution steps

Find non-negative values for radicals:

- \frac{1}{2} \leq x \leq \frac{1}{2}

The function domain

- \frac{1}{2} \leq x \leq \frac{1}{2}

y = \frac{1}{x ^{2} - 4}

f (x) = 10 - 3 x

f (x) = - 6 - 2 x

f (x) = \frac{x ^{2} - 1}{x ^{2} + 4}

arcsin (3 x + 1)

What is the domain of sqrt(1-4x^2) ?
The domain of sqrt(1-4x^2) is -1/2 <= x<= 1/2