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

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

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

inverse

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

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

Solution steps

y = \frac{2 x + 1}{3 x - 4}

Replace

x

with

y

x = \frac{2 y + 1}{3 y - 4}

Solve for

y, x = \frac{2 y + 1}{3 y - 4}

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

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

f (x) = e^{x} + e^{- x}

f (x) = \frac{- 5 x - 5}{2}

f (x) = - 8 x + 8

f (x) = 4 x + 12

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