Question

[3f(x)+f(x)g(x)]=36 find f(2) suppose f and g are continuous functions such that g(2)=6

Answer 1

I don't really know what the continuous function is but i will try to help .
in LHS I will take f(x) common so the expression can be written as f(x)[3+g(x)}
now g(x)=6
this implies that f(x)[3+6]=36 { from the equation and above }
this implies that f(x) = 36/9
this implies f(x) = 4
this implies f(2) = 4
I will be grateful if you can explain me what the continuous function is ?