What is the inverse of f(x)=(1+3x)/(5-2x) ?

The inverse of f(x)=(1+3x)/(5-2x) is -(1-5x)/(3+2x)

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inverse of f(x)=(1+3x)/(5-2x)

inverse

f (x) = \frac{1 + 3 x}{5 - 2 x}

- \frac{1 - 5 x}{3 + 2 x}

Solution steps

y = \frac{1 + 3 x}{5 - 2 x}

Replace

x

with

y

x = \frac{1 + 3 y}{5 - 2 y}

Solve for

y, x = \frac{1 + 3 y}{5 - 2 y}

- \frac{1 - 5 x}{3 + 2 x}

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

f (x) = - 2 ∣ x - 5 ∣ + 2

f (x) = x^{2} - 6 x + 5

y = 2 x^{3} - 12 x^{2} + 10 x + 10

What is the inverse of f(x)=(1+3x)/(5-2x) ?
The inverse of f(x)=(1+3x)/(5-2x) is -(1-5x)/(3+2x)