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 and , then the value of equals
- 16
- 15
- 25
- 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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IPMAT Indore
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