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Given \(f(x) = x^2 + \log_3 x\) and \(g(y) = 2y + f(y)\), then the value of \(g(3)\) equals

Question and options

Given f(x)=x2+log⁡3xf(x) = x^2 + \log_3 x and g(y)=2y+f(y)g(y) = 2y + f(y), then the value of g(3)g(3) equals
  1. 16
  2. 15
  3. 25
  4. 26

Answer and explanation

Correct answer: A - 16

First f(3) = 3 squared + log base 3 of 3 = 9 + 1 = 10. Then g(3) = 2 x 3 + f(3) = 6 + 10 = 16. The value 15 comes from forgetting that log base 3 of 3 equals 1, not 0.

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