What is the inverse of the function f(x) = 2x + 1?

Question

What is the inverse of the function f(x) = 2x + 1?

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Yến Oanh 3 years 2021-08-28T11:30:20+00:00 2 Answers 4 views 0

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    0
    2021-08-28T11:31:52+00:00

    Answer:

    Step-by-step explanation:

    y = 2x + 1

    x = 2y + 1

    2y + 1 = x

    2y = x – 1

    y = x/2 – 1/2

    f^-1(x) = x/2 – 1/2

    0
    2021-08-28T11:32:05+00:00

    f(x) = 2x + 1

    Replace f(x) with y

    y = 2x + 1

    Switch x with y and y with x.

    x = 2y + 1

    Now solve for y. Subtract 1 from both sides.

    x – 1 = 2y

    Divide both sides by 2

    (x – 1) / 2 = y

    Replace y with f^-1(x)

    f^-1(x) = (x – 1) / 2 is the inverse

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )