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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{e ^{x}}{5 + 4 e ^{x}}

f (x) = - 3 (x - 1)^{2} + 5

f (x) = lo g_{10} (7 x) + 2

13 - (x + 20) - 41

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

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