What is the inverse of f(x)=(2x-5)/(x+4) ?

The inverse of f(x)=(2x-5)/(x+4) is (-5-4x)/(x-2)

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inverse of f(x)=(2x-5)/(x+4)

inverse

f (x) = \frac{2 x - 5}{x + 4}

\frac{- 5 - 4 x}{x - 2}

Solution steps

y = \frac{2 x - 5}{x + 4}

Replace

x

with

y

x = \frac{2 y - 5}{y + 4}

Solve for

y, x = \frac{2 y - 5}{y + 4}

\frac{- 5 - 4 x}{x - 2}

f (x) = \frac{2 x - 5}{x + 3}

f (x) = \frac{( t - 44240 )}{2.5} + 30550

f (x) = 4 + 4 + 11 x

f (x) = \frac{4 + 3 x}{5 - x}

f (x) = 3 ln (x - 3)

What is the inverse of f(x)=(2x-5)/(x+4) ?
The inverse of f(x)=(2x-5)/(x+4) is (-5-4x)/(x-2)