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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 13 x - 2 y = 0

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

f (x) = (x - 3)^{2} - 1

f (x) = x - 4 + 7

(- 4, 1), (8, - 5)

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