If f and g are continuous function with f(3) = 5 and limx → 3 [2f(x) - g(x)] = 4, find g(3).

Question

If f and g are continuous function with f(3) = 5 and \( \lim\limits_{x \to 3} [2f(x)-g(x)]=4\) find g(3).

Answer 1

Since f and g are continuous 

\( \lim\limits_{x \to 3} [2f(x)-g(x)]=4\)

2f(3) – g(3) = 4 

2(5) – g(3) = 4 

10 – 4 = g(3) 

g(3) = 6