# How do you find the domain and range of #arcsin(x^2+y^2-2)#?

Domain of

graph{(x^2+y^2-1)(x^2+y^2-3)=0 [-5, 5, -2.5, 2.5]}

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The domain of arcsin(x^2 + y^2 - 2) is -√2 ≤ x^2 + y^2 - 2 ≤ √2, and the range is -π/2 ≤ arcsin(x^2 + y^2 - 2) ≤ π/2.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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