# How does this change?

• Sep 24th 2013, 06:06 AM
How does this change?
3√-x-2
• Sep 24th 2013, 06:13 AM
votan
Re: How does this change?
Can you be more specific about what you mean by change?
• Sep 24th 2013, 07:08 AM
Re: How does this change?
Functional transformation from
Sqrt of x
• Sep 24th 2013, 07:12 AM
Shakarri
Re: 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 AM
HallsofIvy
Re: How does this change?
Quote:

Functional transformation from
Sqrt of x

So going from $\sqrt{x}$ to $\sqrt[3]{x- 2}$?
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 $\sqrt{x}$ to $\sqrt[3]{x}$ a "functional transformation" in the usual sense of these problems (If it were $3\sqrt{x}$, that would be a "stretch" by 3 times in the y direction) but it is, of course y to the 2/3 power: $\left(\sqrt{x}\right)^{2/3}= \left(x^{1/2}\right)^{2/3}= x^{1/3}= \sqrt[3]{x}$.
• Sep 24th 2013, 08:26 AM
Re: How does this change?
From f(x)=sqrt of x
To
F(x)=3√-x-2

Functional transformation
• Sep 24th 2013, 11:11 AM
votan
Re: How does this change?
Quote:

From f(x)=sqrt of x
To
F(x)=3√-x-2

Functional transformation

It looks you are looking for a composition of functions. If that what it is then replace x in sqrt(x) by -9(x+2).
• Sep 24th 2013, 12:59 PM
chen09
Re: How does this change?
$F(x)=(-(f(x))^2-2)^{1/3}$
I'm guessing this is what the guy wanted to see. Please confirm, thanks.
• Sep 24th 2013, 01:16 PM
votan
Re: How does this change?
Quote:

Originally Posted by chen09
$F(x)=(-(f(x))^2-2)^{1/3}$
I'm guessing this is what the guy wanted to see. Please confirm, thanks.

My guess is no better than your guess.
• Sep 24th 2013, 01:27 PM
chen09
Re: 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 PM
votan
Re: How does this change?
Quote:

Originally Posted by chen09
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. =)

It is not who is better, it either guess is a guess.