Question

Find the fixed point(s) of \[f(x) = -2x(x-1).\]

Answer 1

may be x=0.1

Answer 2

how did you get that?

Answer 3

i think u need when f(x)=0

Answer 4

solve f(x)=x

Answer 5

The definition of fixed point being used here is a point that does not change on repeated compositions.
Or as watchmath said f(x) = x :)

Answer 6

-2x(x-1)=x
x(-2x+2)=x
x(-2x+1)=0
x=0 or x=1/2.

Answer 7

Great!

Answer 8

watchmath can u tell me why we are doing f(x)=x

Answer 9

http://en.wikipedia.org/wiki/Fixed_point_%28mathematics%29

Answer 10

That is the definition of fixed point. c is a fixed point if f(c)=c.

Answer 11

ok...thanks..