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

This Question is Closed

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Replace x + 3 by x.. So put x  3..

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.0Wait, why would that work? I just want to understand the dynamics of why it works.

sai1234
 2 years ago
Best ResponseYou've already chosen the best response.0put x  3 inplace of x because f((x3)+3)=f(x3+3)=f(x)

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1If you replace there x by x 3: Then: \[f(\color{green}{x} + 3) = f(\color{blue}{x  3} + 3) = f(x)\]

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.0Oh I get it now... f(x) = x^2  4x + 7?

waterineyes
 2 years ago
Best ResponseYou've already chosen the best response.1Hey right this time you became 93.. Congratulations..

Calcmathlete
 2 years ago
Best ResponseYou've already chosen the best response.0Thank you again :)
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