Pregunta
Suppose that the functions
and
are defined as follows.
Find the compositions
of and
.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all
in the domain of the composition. You do not have to indicate the domain.)
Find the compositions
Simplify your answers as much as possible.
(Assume that your expressions are defined for all
Ask by Hampton Matthews. in the United States
Mar 20,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
Solución
-
To find
, we first apply to and then apply to the result: Now compute: -
Substitute
into : -
Expand
: -
Therefore:
-
Now, to find
, we apply twice: So we have:
The final simplified expressions are:
Respondido por UpStudy AI y revisado por un tutor profesional
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Mind Expander
To find
, we need to substitute
into itself.
Given:
Now, substitute
into itself:
Compute
:
Now expand
:
Substituting back:
Thus, the expression for
is:

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