Question

The following function is continuous at all points in the domain of real numbers. What is the value of n?

Answer 1

Answer:

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 $f(x)=g(x)$, where $f(x) =2x+2$ and $g(x)=4x$. So,

$2x+2=4x\\2=4x-2x\\2x=2\\x=1$

Which means $n=1$, that is, if the n is greater than 1, then the function is defined by $f(x)$, if the n is least or equal than 1, then the functioni is defined by $g(x)$

Therefore, the right answer is D.