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).
            
            
        Answers
                    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
    
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
    
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
    
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