What is the inverse of f(x)=(3x-4)/(2x+11) ?

The inverse of f(x)=(3x-4)/(2x+11) is (-4-11x)/(2x-3)

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inverse of f(x)=(3x-4)/(2x+11)

inverse

f (x) = \frac{3 x - 4}{2 x + 11}

\frac{- 4 - 11 x}{2 x - 3}

Solution steps

y = \frac{3 x - 4}{2 x + 11}

Replace

x

with

y

x = \frac{3 y - 4}{2 y + 11}

Solve for

y, x = \frac{3 y - 4}{2 y + 11}

\frac{- 4 - 11 x}{2 x - 3}

f (x) = \frac{x ^{2} - 4 x + 3}{x - 1}

f (x) = - 13

f (x) = (2 x + 3)

f (x) = - 2 (7)^{x} + 4

f (x) = x^{13}

What is the inverse of f(x)=(3x-4)/(2x+11) ?
The inverse of f(x)=(3x-4)/(2x+11) is (-4-11x)/(2x-3)