Question

Find the value of k that makes the function continuous everywhere:

(−7x−11 )/(x−k).
A. k=−7
B. k=−11
C. k=7
D. k=11

Answer 1

To make the function (−7x−11)/(x−k) continuous everywhere, the value of k that makes the function continuous is k = -11.

Step-by-step explanation:

To make the function (−7x−11)/(x−k) continuous everywhere, we need to find the value of k. For a rational function to be continuous, the denominator cannot be equal to 0. Therefore, we need to find the value of k that makes the denominator (x−k) not equal to 0. In this case, the answer is k = -11.