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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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