<s>[INST] Consider the combined function geometric transformations of the form $f(g(x,y) + h)$ where $f, g, h$ are functions of one variable. Usually, the order in which the functions are evaluated can drasticly change the outcome. If a large class of funtions are evaluated appropriately, already ordinary elementary functions can, through composition, perform super-exponential growth. If one were to approximately calculate $\log_2(f(g(\sqrt x+1) + h)$, what would the value be given that f(x) = x^2 +2, g(x) = 2^x -1 and h(x)=x?[/INST]