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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{2}{( x - 1 ) ^{2}} - \frac{20}{9}

2 (x + 3)^{2} - 5

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

f (x) = x^{2} + 8 x - 9

f (x) = \frac{1}{2} (e^{x} - e^{- x})

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