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\(g(x) = 2x^2 + 17\)

To find g(12) we need to compare what is inside the bracket in g(12) and g(x)
=> We need to replace x with 12 in \(g(x) = 2x^2 + 17\) to get the value of g(12)

=> \(g(12) = 2(12)^2 + 17\) = 2*144 + 17 = 288 + 17 = 305

So, Answer will be E
Hope it helps!

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