HELP IT’S TIMED
Which function has a removable discontinuity at x = 7?

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  (b)  see below

Step-by-step explanation:

A removable discontinuity exists when the function is undefined at a point where the limit exists.

Choices A, C, D have no limit at x=7 (does not exist).

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Choice B can be simplified to ...

  f(x) = (x -3)(x -7)/(x -7)

  f(x) = (x -3) . . . . . . . x ≠ 7 (domain restriction; undefined at x = 7)

The discontinuity in this function can be removed by defining the function to be f(x) = x-3 everywhere.

step-by-step explanation:

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