What is the inverse of f(x)=(9x-8)/(5x+2) ?

The inverse of f(x)=(9x-8)/(5x+2) is (-8-2x)/(5x-9)

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inverse of f(x)=(9x-8)/(5x+2)

inverse

f (x) = \frac{9 x - 8}{5 x + 2}

\frac{- 8 - 2 x}{5 x - 9}

Solution steps

y = \frac{9 x - 8}{5 x + 2}

Replace

x

with

y

x = \frac{9 y - 8}{5 y + 2}

Solve for

y, x = \frac{9 y - 8}{5 y + 2}

\frac{- 8 - 2 x}{5 x - 9}

What is the inverse of f(x)=(9x-8)/(5x+2) ?
The inverse of f(x)=(9x-8)/(5x+2) is (-8-2x)/(5x-9)