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Calcmathlete

  • 2 years ago

If f(x + 3) = \(x^2 + 2x + 4\), find f(x). Do I just plug in x + 3 for x?

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  1. waterineyes
    • 2 years ago
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    Replace x + 3 by x.. So put x - 3..

  2. Calcmathlete
    • 2 years ago
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    Wait, why would that work? I just want to understand the dynamics of why it works.

  3. sai1234
    • 2 years ago
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    put x - 3 inplace of x because f((x-3)+3)=f(x-3+3)=f(x)

  4. waterineyes
    • 2 years ago
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    If you replace there x by x -3: Then: \[f(\color{green}{x} + 3) = f(\color{blue}{x - 3} + 3) = f(x)\]

  5. Calcmathlete
    • 2 years ago
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    Oh I get it now... f(x) = x^2 - 4x + 7?

  6. waterineyes
    • 2 years ago
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    Well Done..

  7. Calcmathlete
    • 2 years ago
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    Thanks :)

  8. waterineyes
    • 2 years ago
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    Hey right this time you became 93.. Congratulations..

  9. Calcmathlete
    • 2 years ago
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    Thank you again :)

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