find the inverse of the function f (x) = 15 + sqrt 5x – 5

Question

find the inverse of the function
f (x) = 15 + sqrt 5x – 5

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Nick 2 weeks 2021-07-19T06:08:48+00:00 1 Answers 1 views 0

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    2021-07-19T06:10:38+00:00

    15 +  \sqrt{5x - 5}  = f(x)

    Replace y for x and vice versa

    15 +  \sqrt{5y - 5}  = x

    Solve for y.

    15 + 5y - 5 =  {x}^{2}

    15 + 5y =  {x}^{2}  + 5

    5y =  {x}^{2}  - 10

    y =  \frac{ {x}^{2} - 10 }{5}

    f {}^{ - 1} (x) =  \frac{ {x}^{2} - 10 }{5}

    If

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