Final answer:To find f(2), substitute the givenvaluesand solve the equation.Explanation:To find f(2), we need to use the given information and the properties ofcontinuous functions. Since f and g are continuous functions, we can use the limit definition to find the value of f(2).From the limit expression, we know that asxapproaches 2, the expression 3f(x) + f(x)g(x) approaches 36. Since g(2) is given as 6, we can substitute this value into the expression and set it equal to 36.Therefore, we have the equation 3f(2) + f(2)g(2) = 36. By substituting g(2) = 6, we have 3f(2) + 6f(2) = 36. Simplifying further, we get 9f(2) = 36. Dividing both sides by 9, we find that f(2) = 4.Learn more about Finding the value of a function here:brainly.com/question/13434805#SPJ12...

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