The Inverse of a cubic function
Motivated by a question asked by an undergraduate student we determine when the cubic function f(x) = x3 + ax, with a being a real number, is bijective in its domain. For this purpose we use some basic results from calculus and by using a formula for the solution of the cubic equation x3 + mx = n fo...
Guardado en:
| Autores principales: | , |
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| Formato: | Artículo revista |
| Lenguaje: | Español |
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Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación
2024
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| Materias: | |
| Acceso en línea: | https://revistas.unc.edu.ar/index.php/REM/article/view/46291 |
| Aporte de: |
| Sumario: | Motivated by a question asked by an undergraduate student we determine when the cubic function f(x) = x3 + ax, with a being a real number, is bijective in its domain. For this purpose we use some basic results from calculus and by using a formula for the solution of the cubic equation x3 + mx = n found by Cardano in the 16th century, we find an explicit expression for the inverse function of f |
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