Copy each graph of f(x) and g(x). Then, apply superposition principle to graph f(x) + g(x). Give the domain and range of f(x) + g(x)

Question

g(x)’s slope is y = -1x + 6

F(x)’s slope is y = 2x

Answer 1

f(x)+g(x) = 2x-x+6 = x+6

graph is a line with slope = 1 which is a diagonal line at an angle of 45 degrees with the x axis

y intercept = 6 = the point (0,6)

x intercept = -6= the point (-6,0)

plot the 2 intercepts, then connect them with a straight line. That's the graph of f(x)+g(x)

domain and range is the set of all real numbers