What is the inverse of f(x)=(x-6)/(1+4x) ?

The inverse of f(x)=(x-6)/(1+4x) is (-6-x)/(4x-1)

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inverse of f(x)=(x-6)/(1+4x)

inverse

f (x) = \frac{x - 6}{1 + 4 x}

\frac{- 6 - x}{4 x - 1}

Solution steps

y = \frac{x - 6}{1 + 4 x}

Replace

x

with

y

x = \frac{y - 6}{1 + 4 y}

Solve for

y, x = \frac{y - 6}{1 + 4 y}

\frac{- 6 - x}{4 x - 1}

f (x) = x^{2} - 4 x - 32

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

f (x) = 21 t^{0.8}

5 + 3 x - 4

y = e^{7 - 6 x}

What is the inverse of f(x)=(x-6)/(1+4x) ?
The inverse of f(x)=(x-6)/(1+4x) is (-6-x)/(4x-1)