Given the function f(x)=2x+3f(x) = 2x + 3f(x)=2x+3, if the mean of a set XXX is xˉ\bar{x}xˉ, what is the mean of f(X)={f(x1),f(x2),…,f(xn)}f(X) = \{f(x_1), f(x_2), \dots, f(x_n)\}f(X)={f(x1),f(x2),…,f(xn)}?
2xˉ+32\bar{x} + 32xˉ+3
xˉ+3\bar{x} + 3xˉ+3
2xˉ2\bar{x}2xˉ
2xˉ+3n\frac{2\bar{x}+3}{n}n2xˉ+3