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

The inverse of f(x)=((x-3))/((x+4)) is (-3-4x)/(x-1)

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

inverse

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

\frac{- 3 - 4 x}{x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 3 - 4 x}{x - 1}

y = (x - 5)^{2} - 4

3 + x^{2} - 4

f (x) = 5 x + 18

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

What is the inverse of f(x)=((x-3))/((x+4)) ?
The inverse of f(x)=((x-3))/((x+4)) is (-3-4x)/(x-1)