1. Given the function $f(x)=2 x+3$, then the inverse function of $f^{-1}(x+1)$ is
A. $y=\frac{x-5}{2}$
B. $y=\frac{x+5}{2}$
C. $y=2 x+5$
D. $y=2 x+2$
1. $\mathrm{D} \quad f^{-1}(x)=\frac{x-3}{2}, f^{-1}(x+1)=\frac{x-2}{2}$.