Homework Help: Continuous functions

1. Sep 16, 2009

step1536

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution
If f and g are continuous functions with f(4)-5 and lim [5f(x) -g(x) ]=5 find g(4)
x-->4

2. Sep 16, 2009

Office_Shredder

Staff Emeritus
Re: Continuity

It's a bit tough to read what's going on here

Is this supposed to be f(4)=5? the limit as x goes to 4 of [5f(x)-g(x)]=5? And you want to find g(4)?

If so, you should be able to manipulate your limit equation using algebra of limit rules (for example, lim(a+b) = lim(a) + lim(b)). Then you need to know what happens to a continuous function when you have it inside of a limit. What do you think happens?

3. Sep 17, 2009

Staff: Mentor

Re: Continuity

Aside from the confusion over whether you're saying that f(4) = -5 or f(4) = 5, do you want g(4) or $\lim_{x \rightarrow 4} g(x)$?

If you want to get help, you really need to concentrate on presenting your problem so that people can understand what you're asking. That would include spending some time on learning what the relevant symbols mean.