What is the inverse of f(x)=(5x-8)/(x+2) ?

The inverse of f(x)=(5x-8)/(x+2) is (-8-2x)/(x-5)

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inverse of f(x)=(5x-8)/(x+2)

inverse

f (x) = \frac{5 x - 8}{x + 2}

\frac{- 8 - 2 x}{x - 5}

Solution steps

y = \frac{5 x - 8}{x + 2}

Replace

x

with

y

x = \frac{5 y - 8}{y + 2}

Solve for

y, x = \frac{5 y - 8}{y + 2}

\frac{- 8 - 2 x}{x - 5}

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

\frac{x + 10}{7}

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

f (x) = \frac{4 x + 40}{3}

f (x) = y - 5

What is the inverse of f(x)=(5x-8)/(x+2) ?
The inverse of f(x)=(5x-8)/(x+2) is (-8-2x)/(x-5)