What is the domain of f(x)=arcsin(x^2-1) ?

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

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domain of f(x)=arcsin(x^2-1)

domain

f (x) = arcsin (x^{2} - 1)

- 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

3 x + 15 y = 30

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

\frac{1}{4} x - \frac{1}{6}

f (x) = \frac{3 x}{( x - 6 ) ( x + 4 )}

f (x) = 0

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