Answer
please see image below,
point of intersection: (0,2)
Work Step by Step
Build a table and plot the points,
as in the image provided.
In column 1, the y values for $f(x)=2^{x+1},$
in column 2, the y values for $g(x)=2^{-x+1}.$
Graphing each smooth curve, we see the intersection point:
(0,2)