What is the domain of y=arcsin(2x) ?

The domain of y=arcsin(2x) is -1/2 <= x<= 1/2

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domain of y=arcsin(2x)

domain

y = arcsin (2 x)

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

Interval Notation

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

Solution steps

Find known functions domain restrictions:

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

The function domain

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

y = x - 7

g (x) = x^{2} - 8 x + 12

f (x) = lo g_{3} (4^{x})

f (x) = \frac{1}{6 x - 3.2 x ^{2}}

f (x) = x^{3} - x - 8

What is the domain of y=arcsin(2x) ?
The domain of y=arcsin(2x) is -1/2 <= x<= 1/2