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

The domain of f(x)=arcsin(x^2+2x-1) is -sqrt(3)-1<= x<=-2\lor 0<= x<= sqrt(3)-1

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

domain

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

- 3 - 1 \leq x \leq - 2 or 0 \leq x \leq 3 - 1

Interval Notation

[- 3 - 1, - 2] \cup [0, 3 - 1]

Solution steps

Find known functions domain restrictions:

- 3 - 1 \leq x \leq - 2 or 0 \leq x \leq 3 - 1

The function domain

- 3 - 1 \leq x \leq - 2 or 0 \leq x \leq 3 - 1

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

f (x) = 7 - 2 x

f (x) = (6 - x)^{\frac{1}{8}}

f (x) = - (x - 3)^{2} + 4

\frac{2 x ^{2} + 1}{3 x - 5}

What is the domain of f(x)=arcsin(x^2+2x-1) ?
The domain of f(x)=arcsin(x^2+2x-1) is -sqrt(3)-1<= x<=-2\lor 0<= x<= sqrt(3)-1