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

The inverse of f(x)=(7-5x)/(5x+2) is (7-2x)/(5(1+x))

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

inverse

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

\frac{7 - 2 x}{5 ( 1 + x )}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{7 - 2 x}{5 ( 1 + x )}

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

f (x) = 9.46

y = - \frac{3}{4}

(- 9, - 1), (- 3, 7)

What is the inverse of f(x)=(7-5x)/(5x+2) ?
The inverse of f(x)=(7-5x)/(5x+2) is (7-2x)/(5(1+x))