Determine the range of the inverse of f(x) = 2x + 1

Question

Determine the range of the inverse of f(x) = 2x + 1

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Ben Gia 4 years 2021-08-22T17:12:39+00:00 2 Answers 11 views 0

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  1. thanhha
    0
    2021-08-22T17:14:02+00:00
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    Answer:

    The range is all real numbers for the inverse

    Step-by-step explanation:

    f(x) = 2x+1

    The domain is all real numbers

    The range is all real numbers

    For the inverse, the domain becomes the range

    The range becomes the domain

    The domain is all real numbers

    The range is all real numbers

  2. linhdan
    0
    2021-08-22T17:14:14+00:00
    Reply

    Step-by-step explanation:

    Given the function f(x) = 2x + 1

    find : the range of the inverse of f(x) = 2x + 1

    solutions:

    f(x) = 2x + 1

    y = 2x + 1

    2x = y – 1

    x = (y -1)/2

    f~¹(x) = (x-1) /2

    since the denominator is the constant number, so the range of function is all Real numbers

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