^{3}√-x-2

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- Sep 24th 2013, 06:06 AMGragadoodleHow does this change?
^{3}√-x-2 - Sep 24th 2013, 06:13 AMvotanRe: How does this change?
Can you be more specific about what you mean by change?

- Sep 24th 2013, 07:08 AMGragadoodleRe: How does this change?
Functional transformation from

Sqrt of x - Sep 24th 2013, 07:12 AMShakarriRe: How does this change?
You are being very unclear about what you mean. Give the question in full and show what you tried already. I can only guess you are talking about a Fourier transform or a Laplace transform but you probably mean something entirely different because this is in Pre-University.

- Sep 24th 2013, 07:55 AMHallsofIvyRe: How does this change?
So going from $\displaystyle \sqrt{x}$ to $\displaystyle \sqrt[3]{x- 2}$?

Going from x to x- 2 is a shift along the x-axis to the right, two places (x- 2= 0 when x= 2 so what used to be x= 0 has shifted to x= 2).

I'm not sure I would consider going from $\displaystyle \sqrt{x}$ to $\displaystyle \sqrt[3]{x}$ a "functional transformation" in the usual sense of these problems (If it were $\displaystyle 3\sqrt{x}$, that would be a "stretch" by 3 times in the y direction) but it is, of course y to the 2/3 power: $\displaystyle \left(\sqrt{x}\right)^{2/3}= \left(x^{1/2}\right)^{2/3}= x^{1/3}= \sqrt[3]{x}$. - Sep 24th 2013, 08:26 AMGragadoodleRe: How does this change?
From f(x)=sqrt of x

To

F(x)=3√-x-2

Functional transformation - Sep 24th 2013, 11:11 AMvotanRe: How does this change?
- Sep 24th 2013, 12:59 PMchen09Re: How does this change?
$\displaystyle F(x)=(-(f(x))^2-2)^{1/3} $

I'm guessing this is what the guy wanted to see. Please confirm, thanks. - Sep 24th 2013, 01:16 PMvotanRe: How does this change?
- Sep 24th 2013, 01:27 PMchen09Re: How does this change?
We're all here to learn together in mathematics ( you can say mathematics is a way of life, lol). Don't have to say who's better or whatever that classifies people. =)

- Sep 24th 2013, 01:34 PMvotanRe: How does this change?