# Confusion

The function $$x^{cosx}$$ results in $$-1/π$$ when$$x=-π$$ but the graph shows that the function can not be negative? Why is it so? I know it seems to be a stupid question but please help me out

Note by Prithwish Roy
1 year, 3 months ago

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Yes, $$x^{\cos x}$$ is equal to $$- \frac 1\pi$$ when $$x = -\pi$$, but does not mean that the graph $$y = x^{\cos x}$$ is defined when it's near $$x = -\pi$$?

Similarly, $$\sqrt[3]{-1} = -1$$, does that mean the domain of $$y = \sqrt[3]{x}$$ includes numbers like -1?

- 1 year, 3 months ago

I see.. Thanks for the reply 👍

- 1 year, 3 months ago