The point through which the graph of g-1(x) passes is (-3,0) which is option (A).
What is the inverse of a function?
An inverse function or an anti function is defined as a function, which can reverse into another function.
What is point of inflection?
The graph of a function changes concavity at inflection points (or points of inflection.
The point (0,-3) is lying on the graph y = g(x), now when we have to find a point lying on y = g-1(x) , the coordinates of this point will reverse as it is the point of inflection. So the coordinates of the point lying of y = g-1(x) will be (-3,0).
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