What is the inverse of f(x)=(5x-1)/(2x+1) ?

The inverse of f(x)=(5x-1)/(2x+1) is (-1-x)/(2x-5)

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inverse of f(x)=(5x-1)/(2x+1)

inverse

f (x) = \frac{5 x - 1}{2 x + 1}

\frac{- 1 - x}{2 x - 5}

Solution steps

y = \frac{5 x - 1}{2 x + 1}

Replace

x

with

y

x = \frac{5 y - 1}{2 y + 1}

Solve for

y, x = \frac{5 y - 1}{2 y + 1}

\frac{- 1 - x}{2 x - 5}

f (x) = - 0.048 ln (x) + 0.0388

f (x) = - \frac{2}{3 x} + 1

y = \frac{1}{9} x - \frac{32}{9}

f (x) = \frac{( 1 + 5 x )}{9 - 4 x}

- 1 \frac{1}{7}

What is the inverse of f(x)=(5x-1)/(2x+1) ?
The inverse of f(x)=(5x-1)/(2x+1) is (-1-x)/(2x-5)