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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{1}{π} arctan (x - 3) + 0.5 π

\frac{x + 1}{7}

f (x) = ln (1 - x - 2)

f (x) = 25 x + 10

g (x) = - 2 (x + 3)^{3}

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