If f(2x) = 2/2+x for all x > 0, then what is 2f(x)?
To find 2f(x), we need to substitute x into the function f(x) and then multiply the result by 2.
Given that f(2x) = 2/(2+x), we can substitute x/2 into the function to find f(x/2):
f(x/2) = 2/(2 + (x/2)) = 2/(2 + x/2) = 2/(2/1 + x/2/1) = 2/(2/1 + x/2/1) = 2/(2 + x/2) = 2/(2 + 1/2 * x) = 2/(2 + 0.5x).
Thus, 2f(x) = 2 * f(x) = 2 * (2/(2 + 0.5x)) = 4/(2 + 0.5x).
Therefore, 2f(x) = 4/(2 + 0.5x).