What is the inverse of the function f(x) = one-quarterx – 12?

Question

What is the inverse of the function f(x) = one-quarterx – 12?

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Thạch Thảo 1 month 2021-08-13T20:18:10+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-13T20:19:15+00:00

    Answer:

    f^{-1} (x) = 4x + 48

    Step-by-step explanation:

    let y = f(x) and rearrange making x the subject, that is

    y = \frac{1}{4} x – 12 ( multiply through bt 4 to clear the fraction )

    4y = x – 48 ( add 48 to both sides )

    4y + 48 = x

    Change t back into terms of x with x = f^{-1} (x)

    f^{-1} (x) = 4x + 48

    0
    2021-08-13T20:19:21+00:00

    Answer:

    y = 4x – 48

    Step-by-step explanation:

    y = 1/4 x – 12

    x = 1/4 y – 12

    4x = y – 48

    y = 4x – 48

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