Answer:
The graph that shows the correct sum is:
Graph B
Step-by-step explanation:
We are given a graph of a function f(x) as a straight line that passes through (0,2) and (2,0).
Hence, the equation of f(x) is:
[tex]y=-x+2[/tex]
Also the graph of g(x) is a upward open parabola with vertex at (0,-3)
Hence, the equation of g(x) is:
[tex]y=x^2-3[/tex]
Now the sum function i.e. (f+g)(x) is given by:
[tex](f+g)(x)=f(x)+g(x)[/tex]
Hence,
[tex](f+g)(x)=x^2-x-1[/tex]
Hence, the graph that denotes this function is:
Graph B.
