G (x+2) = f (x) = 2x+3, that is to say, the real number x+2 corresponds to the function value 2x+3 through the correspondence relationship g.
Note: here is no longer the independent variable x corresponding to the unique function value through the corresponding relationship g.
So according to g (x+2) = 2x+3.
Find the expression of g(x).
Let t=x+2,
Then x = t-2.
So g(t)=2(t-2)+3=2t- 1.
Because x is often used instead of t as an independent variable, all t is replaced by x,
So g(x)=2x- 1.
So the answer is C.