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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

y = 3 x (6 - x)

- 2 x - 1 + 1

f (x) = 5 (x - 5)^{7}

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