Answer: x = 1. Graph attached
Explanation.
You can see the graph in the image attached.
To make the graph I recommend that you make a table with integer values of x from - 2 to + 4
x f(x) = 2^x + 1 g(x) = - x + 4
-2 2^(-2) + 1 = 1/4 + 1 = 3/4 - (-2) + 4 = 2 + 4 = 6
-1 2^(-1) + 1 = 1/2 + 1 = 3/2 - (-1) + 4 = -1 + 4 = 3
0 2^0 + 1 = 1 + 1 = 2 0 + 4 = 4
1 2^1 + 1 = 2 + 1 = 3 -1 + 4 = 3
2 2^2 + 1 = 4 + 1 = 5 -2 + 4 = 2
So, the intersection point on the graph is (1, 3). Which means tha the solution is x = 1.
