The value of x+y/y is an integer when y=4. which of the following is a possible value of x?
a) -16
b) 2
c) 9
d) 15
e) 26

Assuming that you mean

if we let , the expression becomes

This is an integer if and only if x+4 is a multiple of 4, which in turn happens if and only if x is itself a multiple of 4.

So, the only good options are the multiple of 4, in your case -16.

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction