Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

What facts about continuous functions should be proved?

1 Answer

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#

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

4324 views around the world

You can reuse this answer
Creative Commons License