Mathematics

Question

let f(x)=10x-10 find the value of (f o f ^-1)(-10)

2 Answer

  • Answer:

    Step-by-step explanation:

    let y=f(x)

    y=10x-10

    flip x and y

    x=10y-10

    10 y=x+10

    [tex]y=\frac{1}{10}x+1\\f^{-1}(x)=\frac{1}{10}x+1\\(fof^{-1}{x})=f(f^{-1}(x))=f(\frac{1}{10} x+1)=10(\frac{1}{10} x+1)-10=x+10-10=x\\(fof^{-1})(-10)=-10[/tex]

  • The value of (f o f ^-1)(-10) is -10

    The function is given as:

    [tex]f(x) = 10x -10[/tex]

    To calculate (f o f ^-1)(-10), we make use of the following equation

    (f o f ^-1)(x) = x

    Substitute -10 for x

    (f o f ^-1)(-10) = -10

    Hence, the value of (f o f ^-1)(-10) is -10

    Read more about inverse functions at:

    https://brainly.com/question/7567711

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