Find and classify the discontinuities of the following function as removable or nonremovable. If aclassification has no discontinuities, write None for your answer.

Question

asked Jan 17, 2023 99.5k views

1 Answer

Roshan Bagdiya · Answer 1 · 2023-01-21T08:03:44+0000

The given function is

The graph of the function is

here

$x^2-16\text{ is a polynomial , it is a continuous function }$

$x-4\text{ is a polynomial , it is a continuous function }$

Hence we know that

$(x^2-16)/(x-4)\text{ is a polynomial , it is a continuous function }$

From the graph, there is no break in the line of the function.

hence the given function is continuous everywhere

The function h(x) does not have any discontinuities.