Pregunta
Sec 6.6 Inverse Trig: Probien 3
(1 point)
Find the domain and the range of
,
Domain:
Range:
Note: You can earn partial credit on this problem.
(1 point)
Find the domain and the range of
Domain:
Range:
Note: You can earn partial credit on this problem.
Ask by Fuentes Flynn. in the United States
Jan 24,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Domain:
Range:
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Como
Beyond the Answer
To determine the domain of
, we need to ensure that the argument of the inverse sine function,
, falls within the valid output of the sine function, which is between -1 and 1. Therefore, we set up the inequalities:
Solving these, we get:
-
For
: -
For
:
So the domain is:
Next, for the range, since the output of the function
where
takes values from the domain, we know the range of the inverse sine function is between
and
:
Putting it all together, the answers are:
Domain:
Range:
Domain:
Range:

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium