As given by the question
There are given that the graph of f(x) and g(x)
Now,
From the graph, we have to solve equation f(x)=g(x)
In the graph f(x) and g(x) will be equal at the point where they meet each other
Since y will be the value of f(x) and g(x).
So,
We need the same value of y for both f(x) and g(x) and the same value for y will be at a point where both functions meet each other.
Now
Looking at the graph, we can see that graph of function f(x) and g(x) intersect at two-point (-1, -10) and (5.5, 12)
Hence, the value of x from pair of solution is x=-1, 5.4
So, option A is correct.