how would i solve g(a)=-3

By direct observation, we have the following conclusions:
In this question we have a graph from which we extract the information related to vertical and horizontal intercepts and values of the function evaluated at given x-values.
The vertical intercept is the value of the function that crosses the vertical axis (y-axis), the horizontal intercept is the value of the function that crosses the horizontal axis (x-axis) and the function evaluated at a given x-value is a point contained in the graph.
By direct observation, we have the following conclusions:
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