Question

Can anybody help me?

If f(2x) = 2/(2+x) for all positive x, then 2f(x) = ???

Answer 1

\[f(2x)=\frac{2}{2+x}=\frac{2}{2+\frac{2x}{2}}
\\f(x)=\frac{2}{2+\frac{x}{2}}\]
Now whta is 2f(x)?

Answer 2

looks to me like if \(f(2x)=\frac{2}{2+x}\) then \(f(x)=\frac{2}{2+\frac{x}{2}}=\frac{4}{4+x}\)

Answer 3

Thank you! I wish i could give both of you medals...:(

Answer 4

I'll give one to satellite73 on your behalf. :D

Answer 5

Thanks :)