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}

a sy m pt o t es y = 8 - 7 x - x^{3}

d o main \frac{x}{4 36 - x ^{2}}

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

a sy m pt o t es f (x) = 10

in t erce pt s f (x) = x^{2} - 2 x - 15

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)