What is the inverse of f(x)=(6x+1)/(4x-6) ?

The inverse of f(x)=(6x+1)/(4x-6) is (1+6x)/(2(-3+2x))

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inverse of f(x)=(6x+1)/(4x-6)

inverse

f (x) = \frac{6 x + 1}{4 x - 6}

\frac{1 + 6 x}{2 ( - 3 + 2 x )}

Solution steps

y = \frac{6 x + 1}{4 x - 6}

Replace

x

with

y

x = \frac{6 y + 1}{4 y - 6}

Solve for

y, x = \frac{6 y + 1}{4 y - 6}

\frac{1 + 6 x}{2 ( - 3 + 2 x )}

f (x) = 2 3 x + 1

\frac{x}{x - 8}

f (x) = \frac{1}{4} [- 2 (x + 3)] + 5

f (x) = \frac{x - 1}{2 x - 6}

What is the inverse of f(x)=(6x+1)/(4x-6) ?
The inverse of f(x)=(6x+1)/(4x-6) is (1+6x)/(2(-3+2x))