Solving Continuous Functions: Find g(3) When f(3)=5 and lim x→3 [2f(x)-g(x)]=4

[Quantum_Grid]

Homework Statement

If $$f$$ and $$g$$ are continuous functions, with $$f(3) = 5$$ and $$\stackrel{lim}{x\rightarrow3}\left[2f(x) - g(x)\right] = 4$$ find $$g(3)$$

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?

 

[lanedance]

try taking the limit, you know the limt of f

 

[Mark44]

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