What is the inverse of f(x)=(8x-3)/(5x+1) ?

The inverse of f(x)=(8x-3)/(5x+1) is (-3-x)/(5x-8)

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inverse of f(x)=(8x-3)/(5x+1)

inverse

f (x) = \frac{8 x - 3}{5 x + 1}

\frac{- 3 - x}{5 x - 8}

Solution steps

y = \frac{8 x - 3}{5 x + 1}

Replace

x

with

y

x = \frac{8 y - 3}{5 y + 1}

Solve for

y, x = \frac{8 y - 3}{5 y + 1}

\frac{- 3 - x}{5 x - 8}

f (x) = sin (x + 5)

\frac{s - 6}{s ^{2} - 2 s + 10}

f (x) = 1 + (\frac{1}{2})^{x}

\frac{5}{4 + x ^{2}}

f (x) = 3 (2 + x)

What is the inverse of f(x)=(8x-3)/(5x+1) ?
The inverse of f(x)=(8x-3)/(5x+1) is (-3-x)/(5x-8)