The following function is continuous at all points in the domain of real numbers. What is the value of n? f(x)= 2x+2, if x > n
4x, if x n
A. -1
B. 0
C. 1/2
D.1

Step-by-step explanation:

To solve this problem, we just need to find the common point of these linear function, beacuse they form a piecewise function which is continuous according to the problem, that means they are related by one common point.

Let's solve the following expression , where and . So,

Which means , that is, if the n is greater than 1, then the function is defined by , if the n is least or equal than 1, then the functioni is defined by

Therefore, the right answer is D.