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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

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

f (x) = \frac{1}{3 x} - 7

f (x) = 3 - x + 2

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

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