What is the solution to f(x)=g(x) ?

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It is the lower graph      put in x = 0   and you will see that at x= 0 value = -3

   this is also the point of intersection where f(x) = g(x)      

so you have it  1/2 correct.....    (as a side note the TOP graph also has f(x) = g(x) at x = 0   BUT they are incorrect graphs for the f(x) and g(x) given)

    BUT htere is ANOTHER Point of intersection in the lower graph where f(x) = g(x)      ....    at x = 3