What facts about continuous functions should be proved? Calculus Limits Continuous Functions 1 Answer Wataru Sep 21, 2014 How about these: If #f(x)# and #g(x)# are both continuous functions, then so are: #f+g# #f-g# #f cdot g# #f/g# #f circ g# Answer link Related questions What are continuous functions? How do you use continuity to evaluate the limit #sin(x+sinx)# as x approaches pi? How do you find values of x for which the function #g(x) = (sin(x^20+5) )^{1/3}# is continuous? How do you find values of x where the function #f(x)=sqrt(x^2 - 2x)# is continuous? How do you use continuity to evaluate the limit sin(x+sinx)? Given two graphs of piecewise functions f(x) and g(x), how do you know whether f[g(x)] and... How do you find the interval notation to prove #f(x)= x/(sqrt(1-x^2))# is continuous? How do you use continuity to evaluate the limit #(e^(x^2) - e^(-y^2)) / (x + y)# as #(xy)#... How do you show that the function #f(x)=1-sqrt(1-x^2)# is continuous on the interval [-1,1]? Is it possible for a function to be continuous at all points in its domain and also have a... See all questions in Continuous Functions Impact of this question 4280 views around the world You can reuse this answer Creative Commons License