Determina el valor de cada expresión teniendo en cuenta que f(x) = x ^ 3 + 2x ^ 2 - 5. 71. f(0). 72. f(5). 73. f( - 3) 74. F(1 / 2). 75. f( - 2 / 3) 76. F(b + 4) 77. (b - a). 78. f(1 / a). 79. f(3b / a). 80. f(raiz(a / b)).
En resumen
¡Hola! Tomando en cuenta la siguiente expresión : f(x) = x³ + 2x² - 5 Vamos a hallar : →f = (0) f(0) = x³ + 2x² - 5 f(0) = (0)³ + 2(0)² - 5 f(0) = 0 + 0 - 5 f(0) = - 5 .
¡Hola!
Tomando en cuenta la siguiente expresión : f(x) = x³ + 2x² - 5
Vamos a hallar :
→f = (0)
f(0) = x³ + 2x² - 5
f(0) = (0)³ + 2(0)² - 5
f(0) = 0 + 0 - 5
f(0) = - 5
.
→ f = ( - 3)
f( - 3) = x³ + 2x² - 5
f( - 3) = ( - 3)³ + 2( - 3)² - 5
f( - 3) = - 27 + 18 - 5
f( - 3) = - 14
→ f = (<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" />)
f(<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" />) = x³ + 2x² - 5
f(<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" />) = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" />³ + 2 (<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" />)² - 5
f(<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" />) = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20" /> + <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" /> - 5
f(<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" />) = <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B8%7D%20" /> + [img = 10] + [img = 11]
f([img = 12]) = [img = 13]
f([img = 14]) = [img = 15]
f([img = 16]) = - [img = 17]
→ f = ( - [img = 18])
f( - [img = 19]) = - [img = 20] + [img = 21] - 5
f( - [img = 22]) = - [img = 23] + [img = 24] .
[img = 25] - 5
f( - [img = 26]) = - [img = 27] + [img = 28] - 5
f( - [img = 29]) = [img = 30] - 5
f( - [img = 31]) = [img = 32]
f( - [img = 33]) = [img = 34]
f( - [img = 35]) = [img = 36] - 5
f( - [img = 37]) = [img = 38]
f( - [img = 39]) = [img = 40]
f( - [img = 41]) = [img = 42]
f( - [img = 43]) = - [img = 44]
→ f = (b + 4)
f(b + 4) = x³ + 2x² - 5
f(b + 4) = (b + 4)³ + 2(b + 4)² - 5
f(b + 4) = b³ + 12b² + 48b + 64 + (2b² + 16b + 32) - 5
f(b + 4) = b³ + 14b² + 64b + 91
→ f = (b - a)
f(b - a) = x³ + 2x² - 5
f(b - a) = (b - a)³ + 2(b - a)² - 5
f(b - a) = b³ - 3b²a + 3ba² - a³ + (2b² - 4ab + 2a²) - 5
f(b - a) = b³ - 3b²a + 3ba² - a³ + 2b² - 4ab + 2a² - 5
f(b - a) = b³ - 3b²a + 3ba² - a³ + 2b² - 4ab + 2a² - 5.
→ f = ([img = 45])
f([img = 46]) = x³ + 2x² - 5
f([img = 47]) = [img = 48] + 2[img = 49]
f([img = 50]) = [img = 51] + 2[img = 52] - 5
→ f = ([img = 53]
f([img = 54]) = x³ + 2x² - 5
f([img = 55]) = [img = 56]² + 2[img = 57]² - 5
f([img = 58]
→ f = ([img = 59])
f([img = 60]) = x³ + 2x² - 5
f([img = 61]
f[img = 62] = [img = 63]
f([img = 64] = [img = 65]
¡Suerte y espero que te sirva!
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Lat / tarea / 1336586.
Hallar el valor de x para cada expresion que expresión?
Ahí te va la solución.
Espero que te sirva! (Documento de Word).