What is the inverse of (2(3x-2))/((3x-2)+4) ?

The inverse of (2(3x-2))/((3x-2)+4) is (-4-2x)/(3(-2+x))

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inverse of (2(3x-2))/((3x-2)+4)

inverse

\frac{2 ( 3 x - 2 )}{( 3 x - 2 ) + 4}

\frac{- 4 - 2 x}{3 ( - 2 + x )}

Solution steps

y = \frac{2 ( 3 x - 2 )}{3 x - 2 + 4}

Replace

x

with

y

x = \frac{2 ( 3 y - 2 )}{3 y - 2 + 4}

Solve for

y, x = \frac{2 ( 3 y - 2 )}{3 y - 2 + 4}

\frac{- 4 - 2 x}{3 ( - 2 + x )}

\frac{4}{x ^{5}}

f (x) = 300 (1 - \frac{2 x}{75})^{2}

f (x) = lo g_{5 x} (6)

y = \frac{3}{2}

lo g_{\frac{2}{3}} (x - 1)

What is the inverse of (2(3x-2))/((3x-2)+4) ?
The inverse of (2(3x-2))/((3x-2)+4) is (-4-2x)/(3(-2+x))