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

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

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

inverse

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

\frac{- 1 - 7 x}{x - 2}

Solution steps

y = \frac{2 x - 1}{x + 7}

Replace

x

with

y

x = \frac{2 y - 1}{y + 7}

Solve for

y, x = \frac{2 y - 1}{y + 7}

\frac{- 1 - 7 x}{x - 2}

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

\frac{1}{x - 1}

y = - 8 x^{\frac{1}{3}}

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

x^{2} - 1

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