Answer:
Attached: The red graph is a graph of g(x) = -2x + 2
The blue grap is the graph of g'(x) = -x/2 + 1
Step-by-step explanation:
To find the inverse of g(x) = -2x + 2
First replace g(x) with y;
y = -2x + 2
Then take y to the right and x to the left;
x = -2y + 2
Solving for y gives;
2y = -x + 2
y = -x/2 + 1
Replacing y now with g'(x) gives;
g'(x) = -x/2 + 1
The graphs of g(x) = -2x + 2 and its inverse are attached.