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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

y = 8 - 7 x - x^{3}

f (x) = \frac{1}{x + 18}

f (x) = 10

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

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