Inverese of one to one function

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I don't understand how to find the inverese of a one to one function.

Find the inverese of the one to one function.

9. f(x)=-4x+7
Is the inverese suppose to be
f^-1(x)=x-7/-4?

12. f(x)= square root of x-8
I don't understand how to find the inverese on this one.

16. f(x)= 4/(5x-1)
I don't understand how to find the inverese on this one.

  • Inverse of one to one function -

    9. The inverse function gives you x back if the dependent variable is f(x). Call f(x) "y"

    y = -4x + 7
    x = (1/4) (7-y)
    Now you can switch y and x, since it is a "dummy" variable anyway.

    f^-1 (x) = (7-x)/4

    12. y = (sqrt x) - 8
    y+8 = sqrt x
    (y+8)^2 = x
    f^-1 (x) = (x+8)^2

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