What is the inverse of f(x)=(10x-9)/(7x-1) ?

The inverse of f(x)=(10x-9)/(7x-1) is (-9+x)/(7x-10)

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inverse of f(x)=(10x-9)/(7x-1)

inverse

f (x) = \frac{10 x - 9}{7 x - 1}

\frac{- 9 + x}{7 x - 10}

Solution steps

y = \frac{10 x - 9}{7 x - 1}

Replace

x

with

y

x = \frac{10 y - 9}{7 y - 1}

Solve for

y, x = \frac{10 y - 9}{7 y - 1}

\frac{- 9 + x}{7 x - 10}

What is the inverse of f(x)=(10x-9)/(7x-1) ?
The inverse of f(x)=(10x-9)/(7x-1) is (-9+x)/(7x-10)