What is the inverse of f(x)=(x-8)/(8x+3) ?

The inverse of f(x)=(x-8)/(8x+3) is (-8-3x)/(8x-1)

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inverse of f(x)=(x-8)/(8x+3)

inverse

f (x) = \frac{x - 8}{8 x + 3}

\frac{- 8 - 3 x}{8 x - 1}

Solution steps

y = \frac{x - 8}{8 x + 3}

Replace

x

with

y

x = \frac{y - 8}{8 y + 3}

Solve for

y, x = \frac{y - 8}{8 y + 3}

\frac{- 8 - 3 x}{8 x - 1}

3 ln (x + 4)

y^{2} + 1

\frac{1}{3} (y^{2} + 2)^{\frac{3}{2}}

g (x) = \frac{8 x + 7}{5}

What is the inverse of f(x)=(x-8)/(8x+3) ?
The inverse of f(x)=(x-8)/(8x+3) is (-8-3x)/(8x-1)