Question

Suppose f and g are continuous functions such that
g(3) = 4
and
lim
x → 3
[3f(x) + f(x)g(x)] = 35.
Find
f(3).

Answer 1

It seems we can assume that
lim(x→3) f(x) = f(3)
In that case, we have

3f(3) + f(3)*4 = 35
7f(3) = 35
f(3) = 5