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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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