F(x) = (3x² - 1)² + 2÷(2x - 1)²?
F(x) = (3x² - 1)² + 2÷(2x - 1)².
En resumen
Respuesta : <img src="https://tex.z-dn.net/?
Mejor respuesta
4
Respuesta : <img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cleft%283x%5E2-1%5Cright%29%5E2%2B2%5Cdiv%20%5Cleft%282x-1%5Cright%29%5E2%3D%5Cleft%283x%5E2-1%5Cright%29%5E2%2B%5Cfrac%7B2%7D%7B%5Cleft%282x-1%5Cright%29%5E2%7D%3D%5Cfrac%7B2%7D%7B%5Cleft%282x-1%5Cright%29%5E2%7D%2B%5Cfrac%7B%5Cleft%283x%5E2-1%5Cright%29%5E2%5Cleft%282x-1%5Cright%29%5E2%7D%7B%5Cleft%282x-1%5Cright%29%5E2%7D%3D%5Cfrac%7B2%2B%5Cleft%283x%5E2-1%5Cright%29%5E2%5Cleft%282x-1%5Cright%29%5E2%7D%7B%5Cleft%282x-1%5Cright%29%5E2%7D%3B" />Operamos independientemente el numerador : <img src="https://tex.z-dn.net/?f=2%2B%5Cleft%283x%5E2-1%5Cright%29%5E2%5Cleft%282x-1%5Cright%29%5E2%3D%5C%5C%3D2%2B%5Cleft%289x%5E4-6x%5E2%2B1%5Cright%29%5Cleft%282x-1%5Cright%29%5E2%3D%5C%5C%3D2%2B%5Cleft%289x%5E4-6x%5E2%2B1%5Cright%29%5Cleft%284x%5E2-4x%2B1%5Cright%29%3D%5C%5C%3D2%2B9x%5E4%5Ccdot%20%5C%3A4x%5E2%2B9x%5E4%5Cleft%28-4x%5Cright%29%2B9x%5E4%5Ccdot%20%5C%3A1%2B%5Cleft%28-6x%5E2%5Cright%29%5Ccdot%20%5C%3A4x%5E2%2B%5Cleft%28-6x%5E2%5Cright%29%5Cleft%28-4x%5Cright%29%2B%5Cleft%28-6x%5E2%5Cright%29%5Ccdot%20%5C%3A1%2B1%5Ccdot%20%5C%3A4x%5E2%2B1%5Ccdot%20%5Cleft%28-4x%5Cright%29%2B1%5Ccdot%20%5C%3A1%3D%5C%5C%3D2%2B9%5Ccdot%20%5C%3A4x%5E4x%5E2-9%5Ccdot%20%5C%3A4x%5E4x%2B9x%5E4-6%5Ccdot%20%5C%3A4x%5E2x%5E2%2B6%5Ccdot%20%5C%3A4x%5E2x-6x%5E2%2B4x%5E2-4x%2B1%3D%5C%5C%3D2%2B36x%5E6-36x%5E5-15x%5E4%2B24x%5E3-2x%5E2-4x%2B1" /><img src="https://tex.z-dn.net/?f=2%2B%5Cleft%283x%5E2-1%5Cright%29%5E2%5Cleft%282x-1%5Cright%29%5E2%3D%5C%5C%3D2%2B%5Cleft%289x%5E4-6x%5E2%2B1%5Cright%29%5Cleft%282x-1%5Cright%29%5E2%3D%5C%5C%3D2%2B%5Cleft%289x%5E4-6x%5E2%2B1%5Cright%29%5Cleft%284x%5E2-4x%2B1%5Cright%29%3D%5C%5C%3D2%2B9x%5E4%5Ccdot%20%5C%3A4x%5E2%2B9x%5E4%5Cleft%28-4x%5Cright%29%2B9x%5E4%5Ccdot%20%5C%3A1%2B%5Cleft%28-6x%5E2%5Cright%29%5Ccdot%20%5C%3A4x%5E2%2B%5Cleft%28-6x%5E2%5Cright%29%5Cleft%28-4x%5Cright%29%2B%5Cleft%28-6x%5E2%5Cright%29%5Ccdot%20%5C%3A1%2B1%5Ccdot%20%5C%3A4x%5E2%2B1%5Ccdot%20%5Cleft%28-4x%5Cright%29%2B1%5Ccdot%20%5C%3A1%3D%5C%5C%3D2%2B9%5Ccdot%20%5C%3A4x%5E4x%5E2-9%5Ccdot%20%5C%3A4x%5E4x%2B9x%5E4-6%5Ccdot%20%5C%3A4x%5E2x%5E2%2B6%5Ccdot%20%5C%3A4x%5E2x-6x%5E2%2B4x%5E2-4x%2B1%3D%5C%5C%3D2%2B36x%5E6-36x%5E5-15x%5E4%2B24x%5E3-2x%5E2-4x%2B1%3D%5C%5C%3D36x%5E6-36x%5E5-15x%5E4%2B24x%5E3-2x%5E2-4x%2B3" />El resultado queda : <img src="https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B36x%5E6-36x%5E5-15x%5E4%2B24x%5E3-2x%5E2-4x%2B3%7D%7B%282x-1%29%5E%7B2%7D%7D" />.