Composition of Functions and Continuity Graphically - 1
Compare graph of function f in window 1 with graph of the function in window 2 obtained by composing f with squre root in terms of continuity. Remember that square root function is a continuous function. Conjecture based on your exploration.
Try working out some questions from your book on continuity and limit under composition of functions.
For more on limit and continuity of a function check my online book
"Flipped Classroom Calculus of Single Variable"
https://versal.com/learn/vh45au/