What is the inverse of f(x)=(5-2x)/(4x-1) ?

The inverse of f(x)=(5-2x)/(4x-1) is (5+x)/(2(1+2x))

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inverse of f(x)=(5-2x)/(4x-1)

inverse

f (x) = \frac{5 - 2 x}{4 x - 1}

\frac{5 + x}{2 ( 1 + 2 x )}

Solution steps

y = \frac{5 - 2 x}{4 x - 1}

Replace

x

with

y

x = \frac{5 - 2 y}{4 y - 1}

Solve for

y, x = \frac{5 - 2 y}{4 y - 1}

\frac{5 + x}{2 ( 1 + 2 x )}

f (x) = \frac{3}{( 8 + x )}

y = 12 - 4 x

f (x) = \frac{x ^{3} - 1}{4}

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

f (x) = 0.5055 x + 0.0469

What is the inverse of f(x)=(5-2x)/(4x-1) ?
The inverse of f(x)=(5-2x)/(4x-1) is (5+x)/(2(1+2x))