What is the inverse of f(x)=(7x-4)/(8x+5) ?

The inverse of f(x)=(7x-4)/(8x+5) is (-4-5x)/(8x-7)

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inverse of f(x)=(7x-4)/(8x+5)

inverse

f (x) = \frac{7 x - 4}{8 x + 5}

\frac{- 4 - 5 x}{8 x - 7}

Solution steps

y = \frac{7 x - 4}{8 x + 5}

Replace

x

with

y

x = \frac{7 y - 4}{8 y + 5}

Solve for

y, x = \frac{7 y - 4}{8 y + 5}

\frac{- 4 - 5 x}{8 x - 7}

f (x) = \frac{3}{4} (10 x - 2)

5 x^{2} - 1

f (x) = \frac{2 x - 1}{6}

f (x) = - 4 x - 9

f (x) = 576

What is the inverse of f(x)=(7x-4)/(8x+5) ?
The inverse of f(x)=(7x-4)/(8x+5) is (-4-5x)/(8x-7)