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 )}

2 x^{2} + 7 x - 3

f (x) = - 3 x + 2 - 6, x \geq - 2

f (x) = 6 x + 8 - 5

f (x) = 2 (x - 2)^{2} = 8 (7 + y)

y = (\frac{e ^{x} + 9}{2})^{\frac{1}{3}}

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))