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 + 3

4 x^{3} - 24 x^{2} + 36 x

\frac{x - 4}{5 - x}

\frac{x ^{3} + 3 x ^{2} + 2 x}{- 4 x ^{2} + 4 x + 8}

x^{x^{x + x^{x}}}

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)