NIMCET 2018 — Mathematics PYQNIMCET | Mathematics | 2018The function f(x)=log(x+x2+1) is:Choose the correct answer:A. An even function.B. An odd function. (Correct Answer)C. A periodic function.D. Neither an even nor an odd function.Correct Answer: An odd function.Explanation• A function f(x) is: ○ Even, if f(−x)=f(x). ○ Odd, if f(−x)=−f(x). ○ Periodic, if f(np±x)=f(x), for some number p and n∈Z. • loga+logb=log(ab). • log1=0.AAn even function.BAn odd function.CA periodic function.DNeither an even nor an odd function.Show Answer SExplanation• A function f(x) is: ○ Even, if f(−x)=f(x). ○ Odd, if f(−x)=−f(x). ○ Periodic, if f(np±x)=f(x), for some number p and n∈Z. • loga+logb=log(ab). • log1=0.
