the graph of a function f is shown in the figure above. at what value of x does f have a removable…

Explanation:

Step1: Recall definition of removable discontinuity

A removable discontinuity occurs when the limit of the function exists at a point but the function is not continuous there (hole in the graph).

Step2: Examine the graph

At (x = 1), the function has a hole. The left - hand limit and the right - hand limit as (x) approaches (1) exist and are equal, but the function is not defined at (x = 1).

Answer:

(x = 1)