Asked by Ravi

Suppose f and g are continuous functions such that f(3) = 4 and limx→3[f(x)g(x)+7g(x)] = 12. Find g(3).
Answered by oobleck
really? aside from the limit, this is just Algebra I
3(4*g(3) + 7g(3)) = 12
11g(3) = 4
g(3) = 4/11
Answered by AJ L
Just plug in the limit:

limx→3 [f(x)g(x)+7g(x)] = 12

f(3)g(3) + 7g(3) = 12
4g(3) + 7g(3) = 12
11g(3) = 12
g(3) = 12/11

@oobleck I think you accidentally multiplied the limit by the expression
Answered by oobleck
oops - my bad. time to clean my glasses ...
Answered by AJ L
lol it happens