Find lim (4?g(x) - 7).

Question

a) Find
lim    (4 g(x) − 7).
x→5⁺

−7
−28
0
Does not exist.
4

 

There is a graph that goes with this question that is g(x). and I know how to find the limits off the graph. in this case it would be 0 with an open circle that it approaches from the right. However I noticed that it isn't just g(x) but other things are going on. So how would I change the way I follow the graph or find the limit since the question is not on the parent function.  

Answer 1

Without graph, it's hard to see what's going on as x approaches 5 from the right side. Just look to see where g(x) is going; if that's one constant value (approached), then just evaluate your expression using that value for g(x) and see what the expression's result is.