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Given the function [tex]f(x) = x^3 - x + 1[/tex], find:

[tex]f(-1)[/tex]

[tex]f(4)[/tex]

Sagot :

GinnyAnswer
Claro, vamos a resolver el problema paso a paso.

Tenemos la función [tex]\( f(x) = x^3 - x + 1 \)[/tex].

Primero, evaluemos la función en [tex]\( x = -1 \)[/tex]:
[tex]\[ f(-1) = (-1)^3 - (-1) + 1 \][/tex]

Sustituyendo y simplificando:
[tex]\[ f(-1) = -1 + 1 + 1 = 1 \][/tex]

Así que, [tex]\( f(-1) = 1 \)[/tex].

Ahora, evaluemos la función en [tex]\( x = 4 \)[/tex]:
[tex]\[ f(4) = 4^3 - 4 + 1 \][/tex]

Sustituyendo y simplificando:
[tex]\[ f(4) = 64 - 4 + 1 = 61 \][/tex]

Por lo tanto, [tex]\( f(4) = 61 \)[/tex].

Como resultado:
[tex]\[ f(-1) = 1 \quad \text{y} \quad f(4) = 61 \][/tex]
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