Which function represents the inverse of function fbelow? f(x) = 3 x + 5​

Question

Which function represents the inverse of function fbelow?
f(x) = 3 x + 5​

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Phúc Điền 5 months 2021-09-03T06:04:33+00:00 1 Answers 2 views 0

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    2021-09-03T06:06:18+00:00

    Answer:

    f^{-1} (x) = \frac{x-5}{3}

    Step-by-step explanation:

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

    y = 3x + 5 ( subtract 5 from both sides )

    y – 5 = 3x ( divide both sides by 3 )

    \frac{y-5}{3} = x

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

    f^{-1} (x) = \frac{x-5}{3}

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