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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

4 x - y - 5 = 0

\frac{6 x ^{2} + 35 x - 6}{4 x ^{2} + 23 x - 6}

f (x) = x + 7

3

f (x) = (x^{\frac{1}{3}} + 7)^{7}

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