What is the domain of arcsin(sin(x)) ?

The domain of arcsin(sin(x)) is True for all x\in\mathbb{R}

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domain of arcsin(sin(x))

domain

arcsin (sin (x))

True for all x \in R

Interval Notation

(- \infty, \infty)

Solution steps

Find known functions domain restrictions:

True for all

x \in R

The function has no undefined points nor domain constraints. Therefore, the domain is

True for all x \in R

f (x) = lo g_{3} (2 x - 5)

y = \frac{2}{3} + x

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

4 + 8 x - 6 x^{2}

f (x) = \frac{3 x}{∣ x ∣}

What is the domain of arcsin(sin(x)) ?
The domain of arcsin(sin(x)) is True for all x\in\mathbb{R}