What is the inverse of f(x)=(3-2x)/(4+5x) ?

The inverse of f(x)=(3-2x)/(4+5x) is (3-4x)/(5x+2)

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inverse of f(x)=(3-2x)/(4+5x)

inverse

f (x) = \frac{3 - 2 x}{4 + 5 x}

\frac{3 - 4 x}{5 x + 2}

Solution steps

y = \frac{3 - 2 x}{4 + 5 x}

Replace

x

with

y

x = \frac{3 - 2 y}{4 + 5 y}

Solve for

y, x = \frac{3 - 2 y}{4 + 5 y}

\frac{3 - 4 x}{5 x + 2}

y = 4 x - 9, at b = 5

f (x) = x + 2 x

\frac{- 3}{x ^{2}}

g (x) = - \frac{1}{2 9 - x}

f (x) = - 2 x^{2} + 24 x

What is the inverse of f(x)=(3-2x)/(4+5x) ?
The inverse of f(x)=(3-2x)/(4+5x) is (3-4x)/(5x+2)