Pregunta
\( 1 \leftarrow \quad \) Find the domain of the function. \[ g(x)=\log _{6}(x+8) \] The domain of \( g \) is \( \square \). (Type your answer in interval notation.)
Ask by Graham Martinez. in Saudi Arabia
Mar 09,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
The domain of \( g \) is \( (-8, \infty) \).
Solución
1. For the logarithmic function \( g(x)=\log_{6}(x+8) \), the argument of the logarithm must be positive. This gives us the inequality:
\[
x+8 > 0
\]
2. Solve the inequality:
\[
x > -8
\]
3. In interval notation, the domain of \( g \) is:
\[
(-8, \infty)
\]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución Extra Insights
To find the domain of the function \( g(x) = \log_6(x+8) \), we need to ensure that the argument of the logarithm is positive. This means that \( x + 8 > 0 \). Solving this inequality, we get \( x > -8 \). Thus, the domain of \( g \) is \( (-8, \infty) \). The domain of \( g \) is \( (-8, \infty) \).
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
