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 If f(x) = ; g(x) =  for a > 1, a ¹ 1 and x Î R, where {*} & [*] denote the fractional part and integral part functions respectively, then which of the following statements holds good for the function h(x), where (ln a) h(x) = (ln f(x) +ln g(x)).
  • a)
    `h' is even and increasing
  • b)
    `h' is odd and decreasing
  • c)
     `h' is even and decreasing
  • d)
    `h' is odd and increasing
Correct answer is option 'D'. Can you explain this answer?
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If f(x) =; g(x) =for a > 1, a ¹ 1 and x Î R, where {*} & [*] denote the fractional part and integral part functions respectively, then which of the following statements holds good for the function h(x), where (ln a) h(x) = (ln f(x) +ln g(x)).a)`h is even and increasingb)`h is odd and decreasingc)`h is even and decreasingd)`h is odd and increasingCorrect answer is option 'D'. Can you explain this answer?
Question Description
If f(x) =; g(x) =for a > 1, a ¹ 1 and x Î R, where {*} & [*] denote the fractional part and integral part functions respectively, then which of the following statements holds good for the function h(x), where (ln a) h(x) = (ln f(x) +ln g(x)).a)`h is even and increasingb)`h is odd and decreasingc)`h is even and decreasingd)`h is odd and increasingCorrect answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If f(x) =; g(x) =for a > 1, a ¹ 1 and x Î R, where {*} & [*] denote the fractional part and integral part functions respectively, then which of the following statements holds good for the function h(x), where (ln a) h(x) = (ln f(x) +ln g(x)).a)`h is even and increasingb)`h is odd and decreasingc)`h is even and decreasingd)`h is odd and increasingCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If f(x) =; g(x) =for a > 1, a ¹ 1 and x Î R, where {*} & [*] denote the fractional part and integral part functions respectively, then which of the following statements holds good for the function h(x), where (ln a) h(x) = (ln f(x) +ln g(x)).a)`h is even and increasingb)`h is odd and decreasingc)`h is even and decreasingd)`h is odd and increasingCorrect answer is option 'D'. Can you explain this answer?.
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