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State the domain: .[tex]y \:=\: x\sqrt{1 - x^2}[/tex]
So: .[tex]1 - x^2 \:\ge\:0[/tex]
. . . . . [tex]-x^2 \:\ge\:-1[/tex]
. . . . . . .[tex]x^2\:\le\:1[/tex]
NOT \(\displaystyle \{-1, 1\}\) because that means the numbers -1 and 1 only, not the numbers between. You could say \(\displaystyle \{x| -1\le x\le 1\}\) or [-1, 1] as MarkFL said.state the domain
\(\displaystyle y = x\sqrt{1 - x^2}\)
so
\(\displaystyle 1 - x^2 >= 0\)
\(\displaystyle -x^2 >= -1\)
\(\displaystyle x^2 <= 1\)
\(\displaystyle d = {x <= (+)(-) 1}\) or should I say \(\displaystyle d = {-1, 1}\)
which one is correct?