What is the inverse of f(x)=(2-4x)/(16x-1) ?

The inverse of f(x)=(2-4x)/(16x-1) is (2+x)/(4(1+4x))

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inverse of f(x)=(2-4x)/(16x-1)

inverse

f (x) = \frac{2 - 4 x}{16 x - 1}

\frac{2 + x}{4 ( 1 + 4 x )}

Solution steps

y = \frac{2 - 4 x}{16 x - 1}

Replace

x

with

y

x = \frac{2 - 4 y}{16 y - 1}

Solve for

y, x = \frac{2 - 4 y}{16 y - 1}

\frac{2 + x}{4 ( 1 + 4 x )}

12 x - 3 y = - 3

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

f (x) = x^{3} + 11

f (x) = 1 + (6 + x)^{\frac{1}{2}}

\frac{sin ( x )}{1 + cos ( x )}

What is the inverse of f(x)=(2-4x)/(16x-1) ?
The inverse of f(x)=(2-4x)/(16x-1) is (2+x)/(4(1+4x))