Continuous Functions

1. Feb 26, 2009

Quantum_Grid

1. The problem statement, all variables and given/known data
If $$f$$ and $$g$$ are continuous functions, with $$f(3) = 5$$ and $$\stackrel{lim}{x\rightarrow3}\left[2f(x) - g(x)\right] = 4$$ find $$g(3)$$

3. The attempt at a solution
I'm stumped! I cannot find anything in my notes on where to begin. I am not looking for a specific answer, I just need to be pointed in the right direction. Where do I begin?

2. Feb 26, 2009

lanedance

try taking the limit, you know the limt of f

3. Feb 27, 2009

Staff: Mentor

And you know, by the continuity of g, that
$$\lim_{x \rightarrow 3} g(x) = g(3)$$

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook