For the function defined by f(x)=2-x^2, 0 less than or equal to x, use a sketch to help find a formula for f^-1(x). Gave this one my best shot but I need some help with this one. my answer is: f^-1(x)= squrt2-x, x less than or equal to 2.

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- Jul 3rd 2006, 10:19 AMkwtolleyfunction defined
For the function defined by f(x)=2-x^2, 0 less than or equal to x, use a sketch to help find a formula for f^-1(x). Gave this one my best shot but I need some help with this one. my answer is: f^-1(x)= squrt2-x, x less than or equal to 2.

- Jul 3rd 2006, 10:58 AMThePerfectHackerQuote:

Originally Posted by**kwtolley**

$\displaystyle y=2-x^2$ for $\displaystyle x\geq 0 $

It inverse (interchange x and y),

$\displaystyle x=2-y^2$

Thus,

$\displaystyle x-2=-y^2$

Thus,

$\displaystyle 2-x=y^2$

Thus,

$\displaystyle y=\sqrt{2-x}$

Below is the graph,

(red is the original function

gree in the inverse,

balck is the identity function showing the symettry) - Jul 3rd 2006, 11:05 AMSoltras
Hacker, may I ask what software do you use to create your graphs?

- Jul 3rd 2006, 11:22 AMThePerfectHackerQuote:

Originally Posted by**Soltras**

- Jul 3rd 2006, 05:24 PMSoltras
Thanks! :)

- Jul 3rd 2006, 05:35 PMQuickQuote:

Originally Posted by**ThePerfectHacker**

- Jul 3rd 2006, 06:20 PMThePerfectHackerQuote:

Originally Posted by**Quick**

**Trojan**: Is any malicious code/program which discuses as an innconect program like, ( Yazzle Sodoku Game ), while is spyware/malware/adware/dailer/keylogger/backdoor,...

Thus, how can that possibly be a trojan! If it claims to be one. Just click it (we have a policy here on MHF that more malware is allowed). - Jul 3rd 2006, 06:25 PMQuickQuote:

Originally Posted by**ThePerfectHacker**

- Jul 3rd 2006, 06:32 PMThePerfectHackerQuote:

Originally Posted by**Quick**

I wanted to write,

"No malware is allowed", I guess it was a natural instinct for me to write that. - Jul 4th 2006, 12:52 AMkwtolleyanswer
thanks for checking my answer.