What is the inverse of f(x)=(5x-7)/(5x-9) ?

The inverse of f(x)=(5x-7)/(5x-9) is (-7+9x)/(5(-1+x))

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inverse of f(x)=(5x-7)/(5x-9)

inverse

f (x) = \frac{5 x - 7}{5 x - 9}

\frac{- 7 + 9 x}{5 ( - 1 + x )}

Solution steps

y = \frac{5 x - 7}{5 x - 9}

Replace

x

with

y

x = \frac{5 y - 7}{5 y - 9}

Solve for

y, x = \frac{5 y - 7}{5 y - 9}

\frac{- 7 + 9 x}{5 ( - 1 + x )}

f (x) = 2 - x

f (x) = 2 - ln (x)

f (x) = \frac{x + 3}{5}

f (x) = 4 (x - 1)^{2}

g (x) = 4 - \frac{3}{2} x

What is the inverse of f(x)=(5x-7)/(5x-9) ?
The inverse of f(x)=(5x-7)/(5x-9) is (-7+9x)/(5(-1+x))