I'm at a complete loss for how to do this. Example for 1: The limit for f(x) is obviously 2, but is the limit for g(x) 2, or 3? It's different depending on which direction you come from. I've tried all combinations, as well as DNE (limit does not exist), but those are wrong. Is there something I'm missing here?

Step-by-step explanation:

As the graph of g(x) has a jump discontinuity at x = 1 the limit as x approaches 1 does not exist.

Therefore limit x---> 1 of f(x) + g(x) does not exist.

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

-14 is the answer

hope this : ))