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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = - 2 x - 3

f (x) = 2 x^{2} + 8 x - 42

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

f (x) = \frac{3 x - 1}{4 - 2 x}

y = \frac{5 x}{6} + 1

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