Question

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

Answer 1

Replace x + 3 by x..

So put x - 3..

Answer 2

Wait, why would that work? I just want to understand the dynamics of why it works.

Answer 3

put x - 3 inplace of x because f((x-3)+3)=f(x-3+3)=f(x)

Answer 4

If you replace there x by x -3:

Then:

\[f(\color{green}{x} + 3) = f(\color{blue}{x - 3} + 3) = f(x)\]

Answer 5

Oh I get it now...
f(x) = x^2 - 4x + 7?

Answer 6

Well Done..

Answer 7

Thanks :)

Answer 8

Hey right this time you became 93..

Congratulations..

Answer 9

Thank you again :)