Which function is best represented by this graph?

D.

Step-by-step explanation:

You just have to try it out for some points. I tried it for (-4,-3), (0,0), (7,0)

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

x=-7

step-by-step explanation:

x+3=-10

-10+3=-7

x=-7