which statement is true for g(x)?\nyou can remove the discontinuity at x = 0 by defining g(0) = 0.\nyou can…

which statement is true for g(x)?\nyou can remove the discontinuity at x = 0 by defining g(0) = 0.\nyou can remove the discontinuity at x = 0 by defining g(0) = 2.\nyou can remove the discontinuity at x = 3 by defining g(3)=-1.\ndone

which statement is true for g(x)?\nyou can remove the discontinuity at x = 0 by defining g(0) = 0.\nyou can remove the discontinuity at x = 0 by defining g(0) = 2.\nyou can remove the discontinuity at x = 3 by defining g(3)=-1.\ndone

Answer

Explanation:

Step1: Analyze the graph at (x = 0)

The graph has a hole at (x = 0) and the left - hand and right - hand limits as (x\to0) seem to approach (y = 2).

Step2: Recall the concept of removable discontinuity

A removable discontinuity at (x=a) can be removed by defining the function value at (x = a) equal to the limit of the function as (x\to a).

Step3: Analyze the graph at (x = 3)

There is no hole or discontinuity at (x = 3) from the graph.

Answer:

You can remove the discontinuity at (x = 0) by defining (g(0)=2).