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

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

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

inverse

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

\frac{1 + 4 x}{2 x - 3}

Solution steps

y = \frac{3 x}{2 x - 4} + \frac{1}{2 x - 4}

Replace

x

with

y

x = \frac{3 y}{2 y - 4} + \frac{1}{2 y - 4}

Solve for

y, x = \frac{3 y}{2 y - 4} + \frac{1}{2 y - 4}

\frac{1 + 4 x}{2 x - 3}

3 - 2 x + 1

f (x) = 6 - 2 x^{3}

g (x) = \frac{9 x + 4}{x - 7}

f (x) = 2 y - 2 y^{2}

f (a) = 3 a + 5

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