What is the inverse of f(x)=(9x-4)/(8x+7) ?

The inverse of f(x)=(9x-4)/(8x+7) is (-4-7x)/(8x-9)

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inverse of f(x)=(9x-4)/(8x+7)

inverse

f (x) = \frac{9 x - 4}{8 x + 7}

\frac{- 4 - 7 x}{8 x - 9}

Solution steps

y = \frac{9 x - 4}{8 x + 7}

Replace

x

with

y

x = \frac{9 y - 4}{8 y + 7}

Solve for

y, x = \frac{9 y - 4}{8 y + 7}

\frac{- 4 - 7 x}{8 x - 9}

What is the inverse of f(x)=(9x-4)/(8x+7) ?
The inverse of f(x)=(9x-4)/(8x+7) is (-4-7x)/(8x-9)