What is the inverse of f(x)=1-(58)/(80(1-x)) ?

The inverse of f(x)=1-(58)/(80(1-x)) is (-40x+11)/(40(1-x))

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inverse of f(x)=1-(58)/(80(1-x))

inverse

f (x) = 1 - \frac{58}{80 ( 1 - x )}

\frac{- 40 x + 11}{40 ( 1 - x )}

Solution steps

y = 1 - \frac{58}{80 ( 1 - x )}

Replace

x

with

y

x = 1 - \frac{58}{80 ( 1 - y )}

Solve for

y, x = 1 - \frac{58}{80 ( 1 - y )}

\frac{- 40 x + 11}{40 ( 1 - x )}

What is the inverse of f(x)=1-(58)/(80(1-x)) ?
The inverse of f(x)=1-(58)/(80(1-x)) is (-40x+11)/(40(1-x))