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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = f (x) = 1 - 2 x

f (x) = 15 x^{2} - 13

\frac{1}{2} (x - 3)^{2} + 3

y = \frac{x ^{3}}{8} - 1

(S - 2) - 10

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