Pregunta
\( m(x)=x^{2}+4 x \) \[ n(x)=x \] \( (m n)(x)= \) \( x^{2}+4 x(x) \) \( \left(x^{2}+4 x\right)(x) \) DONE
Ask by Maxwell Knight. in the United States
Mar 07,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\((m \cdot n)(x) = x^3 + 4x^2\)
Solución
To find \((m n)(x)\), we need to multiply the functions \(m(x)\) and \(n(x)\).
1. **Identify the functions:**
- \(m(x) = x^2 + 4x\)
- \(n(x) = x\)
2. **Multiply the functions:**
\[
(m n)(x) = m(x) \cdot n(x) = (x^2 + 4x) \cdot x
\]
3. **Distribute \(x\) across the terms in \(m(x)\):**
\[
(m n)(x) = x^2 \cdot x + 4x \cdot x = x^3 + 4x^2
\]
Thus, the final result is:
\[
(m n)(x) = x^3 + 4x^2
\]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg
Explicar 
Simplifique esta solución Bonus Knowledge
To find \((m \cdot n)(x)\), we first need to substitute \(n(x)\) into \(m(x)\). Since \(n(x) = x\), we have: \[ (m \cdot n)(x) = m(n(x)) = m(x) \] Substituting \(n(x)\) into \(m(x)\): \[ m(n(x)) = m(x) = x^2 + 4x \] Thus, \((m \cdot n)(x) = x^2 + 4x\). Now, let's break down what it means. When you multiply functions like this, you're composing them, and here what's interesting is that you are not really combining functions; you are just reproducing \(m(x)\) because \(n(x)\) is identity. So, the final answer stays simply as \(x^2 + 4x\).
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde
Hazte Premium
