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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{- 1}{x - 2} + 4

\frac{7 x ^{2}}{8 x ^{3}}

f (x) = 36 x^{3} - 3 x

y = \frac{1}{2} x + \frac{9}{4}, (- 5, 2)

f (x) = 25 - 7 x

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