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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

f (x) = 5 x^{2} + 12 x + 4

\frac{1}{4}

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

(- 2, - 8), (1, 2)

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