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

The inverse of f(x)=(x-2)/(3x+4) is (-2-4x)/(3x-1)

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

inverse

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

\frac{- 2 - 4 x}{3 x - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{- 2 - 4 x}{3 x - 1}

f (x) = \frac{x ^{2} - 9}{4}

lo g_{2} (k x - 12)

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

f (x) = \frac{2 x + 3}{7 x + 4}

f (x) = 8 x - 4

What is the inverse of f(x)=(x-2)/(3x+4) ?
The inverse of f(x)=(x-2)/(3x+4) is (-2-4x)/(3x-1)