# Thread: How does this change?

3√-x-2

2. ## Re: How does this change?

Can you be more specific about what you mean by change?

3. ## Re: How does this change?

Functional transformation from
Sqrt of x

4. ## 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.

5. ## Re: How does this change?

Functional transformation from
Sqrt of x
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: $\displaystyle \left(\sqrt{x}\right)^{2/3}= \left(x^{1/2}\right)^{2/3}= x^{1/3}= \sqrt[3]{x}$.

6. ## Re: How does this change?

From f(x)=sqrt of x
To
F(x)=3√-x-2

Functional transformation

7. ## Re: How does this change?

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).

8. ## Re: 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.

9. ## Re: How does this change?

Originally Posted by chen09
$\displaystyle F(x)=(-(f(x))^2-2)^{1/3}$
I'm guessing this is what the guy wanted to see. Please confirm, thanks.
My guess is no better than your guess.

10. ## 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. =)

11. ## Re: How does this change?

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.