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}

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

f (x) = \frac{( x - 5 ) ^{7}}{2}

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

f (x) = \frac{8 - 3 x}{1 - 2 x}

y = 2 x + \frac{5}{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)