Question 941424
*[tex \large f^2(x) = f(f(x))] (f of "f of x"). So just replace x with f(x).


It might be easier to rewrite f(x) as *[tex \large f(x) = 2 - \frac{4}{x}].


Then *[tex \large f(f(x)) = 2 - \frac{4}{2 - \frac{4}{x}} = 2 - \frac{4}{\frac{2x-4}{x}} = 2 - \frac{4x}{2x-4} = \frac{4x-8}{2x-4} - \frac{4x}{2x-4} = \frac{-8}{2x-4} = \frac{4}{2-x}]