Pregunta
Let \( f(x)=-5 x+6 \). Find and simplify \( f(x+2) \). \( f(x+2)=\square \) (Simplify your answer.)
Ask by Burton Maxwell. in the United States
Feb 27,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( f(x+2) = -5x - 4 \)
Solución
We are given f(x) = -5x + 6. To find f(x+2), substitute x+2 for x:
f(x+2) = -5(x+2) + 6
= -5x - 10 + 6
= -5x - 4
Thus, the simplified form is -5x - 4.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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Beyond the Answer
To find \( f(x+2) \), we will substitute \( x+2 \) into the function equation \( f(x) = -5x + 6 \). So, \[ f(x+2) = -5(x+2) + 6 \] Now, we distribute the -5: \[ = -5x - 10 + 6 \] Next, we simplify by combining like terms: \[ = -5x - 4 \] Thus, \[ f(x+2) = -5x - 4 \]
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