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}

y = 7 x^{2} + 4 x - 3, x \geq 0

f (x) = 8 x - 1

5 x^{2} + 14 x + 12

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

f (p) = 200 - p

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)