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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

(- 3, - 5), (5, - 1)

f (x) = \frac{5 x}{x ^{2} + 2}

f (x) = 3 x^{4} - 10 x^{3} - 12 x^{2} + 10 x + 9

f (x) = 4 cos (\frac{1}{3} π x - π) - 3

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

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