Subject

    Bank Exam

    Topic

    Islami Bank Bangladesh Ltd. PO 2017

    If f(x)=5 - 2x and f(3k)= f(k+1), then f(k) = ?

    ক)
    0.5
    খ)
    1
    গ)
    4
    ঘ)
    8
    ঙ)
    None

    Explanation

    Solution: দেয়া আছে, f(x) = 5 - 2x => f(3x) = 5 - (2 × \times 3k) f(3k) = 5 - 6k আবার, f(x) = 5 - 2x => f(k + 1) = 5 - 2 (k + 1) => f(k + 1) = 5 - 2k - 2 f(k + 1) = 3 - 2k প্রশ্নমতে, 5 - 6x = 3 - 2k => 6k - 2k = 5 - 3 => 4k = 2 k = 1/2 অতএব, f(k) = 5 - 2k => f(k) = 5 - (2×12)(2 \times \frac{1}{2}) => f(k) = 5 - 1 f(k) = 4

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