What is the domain of arcsin(1/2 sqrt(2-x)) ?

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

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domain of arcsin(1/2 sqrt(2-x))

domain

arcsin (\frac{1}{2} 2 - x)

- 2 \leq x \leq 2

Interval Notation

[- 2, 2]

Solution steps

Find known functions domain restrictions:

- 2 \leq x \leq 2

The function domain

- 2 \leq x \leq 2

(\frac{x}{2})^{2} + \frac{1}{x}

f (x) = \frac{10}{x} (4 - x)

f (x) = 4 x + 16

f (x) = - 3 - x + 1

f (x) = 2 x^{2} - 3 x

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