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------------------------------------------------ If [tex]f(x) = 3x + 2[/tex] and [tex]g(x) = (2x + 3)^2[/tex], then what is the value of [tex]f(2) + g(3)[/tex]?

A. 36
B. 132
C. 150
D. 225
E. 300

Answer :

Final answer:

The value of f(2) + g(3) is 5.


Explanation:

To find the value of f(2) + g(3), we need to substitute the given values into the functions. f(2) is equal to 3 + 2, which is 5. To find g(3), we need to evaluate (2+ 3)' which is the derivative of 2 + 3 with respect to x. Since the derivative of a constant is zero, the value of g(3) is 0. Therefore, f(2) + g(3) is equal to 5 + 0, which is 5.


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