What is the inverse of f(x)=(5x-14)/(x+1) ?

The inverse of f(x)=(5x-14)/(x+1) is (-14-x)/(x-5)

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inverse of f(x)=(5x-14)/(x+1)

inverse

f (x) = \frac{5 x - 14}{x + 1}

\frac{- 14 - x}{x - 5}

Solution steps

y = \frac{5 x - 14}{x + 1}

Replace

x

with

y

x = \frac{5 y - 14}{y + 1}

Solve for

y, x = \frac{5 y - 14}{y + 1}

\frac{- 14 - x}{x - 5}

f (x) = x - \frac{9}{x}

f (x) = \frac{1 - e ^{6 x}}{1 + e ^{6 x}}

\frac{2 x + 1}{x - 6}

f (x) = x^{2}, x < 0

f (x) = 5 \cdot 12 5^{2}

What is the inverse of f(x)=(5x-14)/(x+1) ?
The inverse of f(x)=(5x-14)/(x+1) is (-14-x)/(x-5)