# Same Base, But Different Exponents

Algebra Level 3

Let $$f(x)=\left ( 1-x^3 \right )^{2+\sqrt{5}}$$,$$\;g(x)=\left ( 1-x^3 \right )^{2-\sqrt{5}}$$ and $$h(x)=\left ( 1-x^3 \right )^{-(2+\sqrt{5})}$$.

Which of these affirmations about their real domains is true?

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