What is the Solution to a Function and Roots Problem?

[Patrickas]

Homework Statement

F(X)=√x
F((F(2)-2)^2)+f(2)

Homework Equations

The Attempt at a Solution

I get to √(-4√2 +8) ... that minus sign is annoying me =] any help?

 

[tiny-tim]

Hi Patrickas!

(try using the X² tag just above the Reply box )

F(X)=√x
F((F(2)-2)^2)+f(2)
…
I get to √(-4√2 +8) ... that minus sign is annoying me =] any help?

(do you mean F((F(2)-2)²) + F(2) ?)

Hint: F(a²) = … ?

 

[Patrickas]

Hi Patrickas!

(try using the X² tag just above the Reply box )


(do you mean F((F(2)-2)²) + F(2) ?)

Hint: F(a²) = … ?

Hmmm I'm guessing that the signs will change. Then i should get -√2+2+√2= 2
Right?

 

[tiny-tim]

Hmmm I'm guessing that the signs will change. Then i should get -√2+2+√2= 2
Right?

Yup!

 

[Patrickas]

Yup!

Cool! Thanks! I wonder hoe long will i remember this rule =]