What is the inverse of f(x)=(3x-7)/(5x+2) ?

The inverse of f(x)=(3x-7)/(5x+2) is (-7-2x)/(5x-3)

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inverse of f(x)=(3x-7)/(5x+2)

inverse

f (x) = \frac{3 x - 7}{5 x + 2}

\frac{- 7 - 2 x}{5 x - 3}

Solution steps

y = \frac{3 x - 7}{5 x + 2}

Replace

x

with

y

x = \frac{3 y - 7}{5 y + 2}

Solve for

y, x = \frac{3 y - 7}{5 y + 2}

\frac{- 7 - 2 x}{5 x - 3}

f (y) = 0

f (x) = \frac{( 7 5 x - 5 )}{6}

\frac{75 x}{85 - x}

- 1 + lo g_{2} (x)

y = \frac{80 x}{x + 60}

What is the inverse of f(x)=(3x-7)/(5x+2) ?
The inverse of f(x)=(3x-7)/(5x+2) is (-7-2x)/(5x-3)