qual a função inversa de x= y³+1/y+1
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Isolando o y:
![x=\frac{ y^{3} +1 }{y+1} \\ y^{3} +1=x(y+1) \\ y^{3}+1=xy+x \\ y^{3}=xy+x-1 \\y = \sqrt[3]{xy+x-1}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B+y%5E%7B3%7D+%2B1+%7D%7By%2B1%7D+%5C%5C+y%5E%7B3%7D+%2B1%3Dx%28y%2B1%29+%5C%5C+y%5E%7B3%7D%2B1%3Dxy%2Bx+%5C%5C+y%5E%7B3%7D%3Dxy%2Bx-1+%5C%5Cy+%3D++%5Csqrt%5B3%5D%7Bxy%2Bx-1%7D "x=\frac{ y^{3} +1 }{y+1} \\ y^{3} +1=x(y+1) \\ y^{3}+1=xy+x \\ y^{3}=xy+x-1 \\y = \sqrt[3]{xy+x-1}")
Troquei x por y:
![x = \sqrt[3]{yx+y-1}](https://tex.z-dn.net/?f=x+%3D++%5Csqrt%5B3%5D%7Byx%2By-1%7D+ "x = \sqrt[3]{yx+y-1}")
Troquei x por y:
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