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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{x ^{3} + 7}{3}

\frac{4}{3 + x}

\frac{4 x + 5}{3 x - 4}

7 - 5 x^{3}

f (x) = \frac{10}{x - 8}

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