Fuentes Ramos
01/24/2024 · Elementary School
8. \( f(x)=\ln (2 x+6) \)
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Step-by-step Solution
La función dada es \( f(x)=\ln (2x+6) \).
Para encontrar el dominio de la función, necesitamos recordar que el argumento de la función logarítmica debe ser mayor que cero. Por lo tanto, el dominio de la función es \( 2x+6 > 0 \).
Resolviendo la desigualdad, obtenemos:
\[ 2x+6 > 0 \]
\[ 2x > -6 \]
\[ x > -3 \]
Por lo tanto, el dominio de la función \( f(x)=\ln (2x+6) \) es \( x > -3 \).
Quick Answer
El dominio de \( f(x)=\ln (2x+6) \) es \( x > -3 \).
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