The graphs of the linear functions f and g are shown above. If h(x)=f(x)+g(x), then h′(x)=

Based on the graph,

     f(x) = 1/2x+3

    g(x) = -x+4

so, h(x) = -1/2 x +7

Since h'(x) is the derivative or slope of h(x) and h is a line,

h'(x) = -1/2, Answer C.

answer:

c) the x-coordinate of the center of the circle increases by 3