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16 November, 13:25

Which of the following is the inverse of y = 3∧x

y = 1/3∧x

y = ㏒3x

y = (1/3) ∧x

y = ㏒ 1/3∧x

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Answers (2)
  1. 16 November, 14:52
    0
    Anwser is B on edg because the anwser is B
  2. 16 November, 16:50
    0
    Inverse of given function = log (x) / log (3)

    Step-by-step explanation:

    How to find the inverse of any function?

    In the complete function, replace y with "x" and x with "y" Then, solve the obtained equation from step 2 for y And, then the value obtained for "y" is the inverse required i. e. = f^{-1} (x)

    Now, we solve the problem:

    Given : - y = 3^x

    replacing the value of "y" with "x", we get,

    x = 3^y

    to solve for "y" we should take the "logarithm" for both sides

    log (x) = y log (3)

    or y = log (x) / log (3)

    or f^ (-1) (x) = log (x) / log (3)
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