How do you find the domain of square root of 1-x^2?

1 Answer
alex ยท Stefan V.
Jun 21, 2018

sqrt(1-x^2) has the domain [-1,1].

Explanation:

A square root with a negative number under the root cannot produce a real number. This means that 1-x^2 must be greater than or equal to zero.

Squaring a real number will always produce a positive number, so x^2 must be equal to or smaller than 1. This means x is between 0 and 1, giving the domain of [0,1].

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