# Uniform continuity

## Homework Statement:

I didn't understand what I was supposed to write here

## Relevant Equations:

I didn't understand what I was supposed to write here
I came across the following question:
If g and f are uniform continuity functions In section I, then f + g uniform continuity In section I.
I was able to prove it with the help Triangle Inequality .
But I thought what would happen if they asked the same question for f-g
I'm sorry if my English isn't good and you don't understand me

## Answers and Replies

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Math_QED
Science Advisor
Homework Helper
2019 Award
Nothing should change to your proof. Check that up to minor modifications the same proof still works.

Alternatively, if you have proven that if ##f,g## is uniformly continuous, then also ##f+g## you can proceed as follows.

Show that ##h:= -g## is uniformly continuous (this will follow because ##|-x| = |x| \forall x \in \mathbb{R}## if you do the proof) and then you can apply what you already proved: ##f+h = f-g## will be uniformly continuous.

sergey_le
thank you

Math_QED
Math_QED
Science Advisor
Homework Helper
2019 Award
thank you
Welcome to physicsforums btw! Hope you have a good time here.

sergey_le