What is the inverse of f(x)=(3x+4)/(2x-6) ?

The inverse of f(x)=(3x+4)/(2x-6) is (4+6x)/(2x-3)

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inverse of f(x)=(3x+4)/(2x-6)

inverse

f (x) = \frac{3 x + 4}{2 x - 6}

\frac{4 + 6 x}{2 x - 3}

Solution steps

y = \frac{3 x + 4}{2 x - 6}

Replace

x

with

y

x = \frac{3 y + 4}{2 y - 6}

Solve for

y, x = \frac{3 y + 4}{2 y - 6}

\frac{4 + 6 x}{2 x - 3}

f (- 2) = \frac{x + 4}{x + 8}

e^{2 x + 3}

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

y = \frac{1}{6} x^{3} - 4

(x + 1)^{2}, x \geq - 1

What is the inverse of f(x)=(3x+4)/(2x-6) ?
The inverse of f(x)=(3x+4)/(2x-6) is (4+6x)/(2x-3)