Question

if f and g are continuous functions with f(3)=5 and lim x-->3 [2f(x)-g(x)]= 4, find g(3)

Answer 1

lim x --> 3 2f(x) - lim x --> 3 g(x) = 4
2f(3) - g(3) = 4
2*5 - g(3) = 4
10 - g(3) = 4
g(3) = 6
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