What is the inverse of f(x)=(7-14x)/(2x-3) ?

The inverse of f(x)=(7-14x)/(2x-3) is (7+3x)/(2(7+x))

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inverse of f(x)=(7-14x)/(2x-3)

inverse

f (x) = \frac{7 - 14 x}{2 x - 3}

\frac{7 + 3 x}{2 ( 7 + x )}

Solution steps

y = \frac{7 - 14 x}{2 x - 3}

Replace

x

with

y

x = \frac{7 - 14 y}{2 y - 3}

Solve for

y, x = \frac{7 - 14 y}{2 y - 3}

\frac{7 + 3 x}{2 ( 7 + x )}

\frac{- 3 x}{x ^{2} + 1}

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

f (x) = 13 x - 2 y = 0

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

f (x) = (x - 3)^{2} - 1

What is the inverse of f(x)=(7-14x)/(2x-3) ?
The inverse of f(x)=(7-14x)/(2x-3) is (7+3x)/(2(7+x))