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

The domain of f(x)=arcsin(x^2-x-1) is -1<= x<= 0\lor 1<= x<= 2

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

domain

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

- 1 \leq x \leq 0 or 1 \leq x \leq 2

Interval Notation

[- 1, 0] \cup [1, 2]

Solution steps

Find known functions domain restrictions:

- 1 \leq x \leq 0 or 1 \leq x \leq 2

The function domain

- 1 \leq x \leq 0 or 1 \leq x \leq 2

lo g_{2} (5 x^{2} + 20 x - 60)

y = \frac{x + 1}{2 - x}

f (x) = \frac{7}{x - 5} + \frac{5}{x + 3}

600 e^{x} + 2022

What is the domain of f(x)=arcsin(x^2-x-1) ?
The domain of f(x)=arcsin(x^2-x-1) is -1<= x<= 0\lor 1<= x<= 2