SOLUTION: Could you show me the steps to fin the domain of this function f(x)= root 4 of 1-x^2

Question 46776: Could you show me the steps to fin the domain of this function
f(x)= root 4 of 1-x^2
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
f(x) = root 4 of 1 - x^2
f(x)= root 4 of (1 - x)(1 + x)
You can not take a fourth root of a negative number.

Check: (1 - x)(1 + x) = (1 + 2)(1 - 2) = (3)(-1) = -3 Nope

Check: (1 - x)(1 + x) = (1 - 2)(1 + 2) = (-1)(3) Nope
We know that one and negative one will work:
Domain: {x|}

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