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Determine the domain of radical functions or functions with rational exponents Precalculus

Determine the domain of the following functions.

f\left(x\right)=\left(2x^2-3\right)^{-1/4}

f\left(x\right)=\sqrt{2x-4}+4\sqrt{x+3}

f\left(x\right)=\sqrt[3]{\frac{x^{2}+2x-3}{x+5}}

f\left(x\right)=\sqrt[3]{x}+4\sqrt{x-2}

f\left(x\right)=\left(x^{2}+4x-5\right)^{\frac{1}{2}}

f\left(x\right)=\left(x^{2}-9\right)^{-\frac{1}{3}}

f\left(x\right)=\sqrt{\dfrac{x+1}{x-5}}