Pregunta
Given
(a) Evaluate
(b) Evaluate
© Solve
Write your answers in exact form.
(a) Evaluate
(b) Evaluate
© Solve
Write your answers in exact form.
Ask by Blake Gordon. in the United States
Mar 15,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
(a)
(b)
©
or
Solución
(a) Evaluate
:
- Substitute
into the function: - Compute the powers:
-
- Substitute the computed values:
- Simplify:
So,
(b) Evaluate
:
- Notice that
is an even function because it contains only even powers of . Hence,
© Solve
:
- Start with:
- Let
. Then the equation becomes: - Solve the quadratic equation in
. The discriminant is: - Find
using the quadratic formula: - This gives two solutions:
- Recall that
. Therefore, for : - And for
:
Thus, the solutions are:
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Beyond the Answer
To solve the function
, let’s tackle each part step by step.
(a) Evaluate
Substituting
:
Calculating
and
:
So,
.
(b) Evaluate
Substituting
:
Since the fourth power and the square are unaffected by the sign:
So,
.
© Solve
We know
.
To solve, let
. Then, we rewrite the equation as:
We will use the quadratic formula,
:
Here,
:
First, calculate the discriminant:
Now apply the quadratic formula:
Calculating the two possible values for
:
Now substitute back
:
-
For
: -
For
:
So the solutions to
are:

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