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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{x - 1}{x ^{2}}

- x + 4

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

4 x - 18

- 5 x - 2

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