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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

(\frac{1}{2})^{x - 1} + 5

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

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

f (x) = \frac{2 x + 9}{x - 2}

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