What is the inverse of f(x)=(2x-3)/(x+4) ?

The inverse of f(x)=(2x-3)/(x+4) is (-3-4x)/(x-2)

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inverse of f(x)=(2x-3)/(x+4)

inverse

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

\frac{- 3 - 4 x}{x - 2}

Solution steps

y = \frac{2 x - 3}{x + 4}

Replace

x

with

y

x = \frac{2 y - 3}{y + 4}

Solve for

y, x = \frac{2 y - 3}{y + 4}

\frac{- 3 - 4 x}{x - 2}

\frac{( x - 6 )}{( x + 5 )}

f (x) = 5 x^{7} + 2 x^{3} + 6

2 x + 2 y = 10

2 x \cdot cot (x)

\frac{x + 3}{x - 2}

What is the inverse of f(x)=(2x-3)/(x+4) ?
The inverse of f(x)=(2x-3)/(x+4) is (-3-4x)/(x-2)