is it possible to find the zeros of this function:
f(x) = 2x-2e^(-2x)

Without the aid of a graphing calculator to do it for you?

Question

is it possible to find the zeros of this function: 
f(x) = 2x-2e^(-2x)

Without the aid of a graphing calculator to do it for you?

anonymous · Answer

hmm f(1) = 2(1)-2e^(-2(1))
        f(1) = 2-(2e^(-2))
I don't think that would equal to zero...

anonymous · Answer

i really don't mind, I just want to know if it is possible to do this without a graphing calculator (without using the "intersect" function).

anonymous · Answer

sorry I meant "zero" function

anonymous · Answer

you mean f =0?

anonymous · Answer

yeah, like y = 0

reemii · Answer

It's not possible to get it by a formula.

anonymous · Answer

ok so algebraically its impossible?

reemii · Answer

I know you can't find the solution of $e^{-x}=x$ so I bet it's the same for $e^{-2x}=x$, which is what you have since you want to find the zero of $2(x-e^{-2x})$.

anonymous · Answer

Ah ok then. I was just curious to see if this was possible but I guess not. Thanks anyways!