求下列函数的自然定义域:(1)y=sqrt(3x+2);(2)y=dfrac(1)(1-{x)^2};(3)y=dfrac(1)(x)-sqrt(1-(x)^2);(4)y=dfrac(1)(sqrt(4-{x)^2)};(5)y=sin sqrt(x);(6)y=tan (x+1);(7)y=arcsin (x-3);(8)y=sqrt(3-x)+arctan dfrac(1)(x);(9)y=ln (x+1);(10)y=(e)^dfrac(1{x)}.

求下列函数的自然定义域:

$\left(1\right)y=\sqrt{3x+2}$;

$\left(2\right)y=\dfrac{1}{1-{x}^{2}}$;

$\left(3\right)y=\dfrac{1}{x}-\sqrt{1-{x}^{2}}$;

$\left(4\right)y=\dfrac{1}{\sqrt{4-{x}^{2}}}$;

$\left(5\right)y=\sin \sqrt{x}$;

$\left(6\right)y=\tan \left(x+1\right)$;

$\left(7\right)y=arc\sin \left(x-3\right)$;

$\left(8\right)y=\sqrt{3-x}+arc\tan \dfrac{1}{x}$;

$\left(9\right)y=\ln \left(x+1\right)$;

$\left(10\right)y={e}^{\dfrac{1}{x}}$.

参考答案与解析:

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