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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{x}{- x + 1}

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

f (x) = (x + 3) (x - 3)

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

f (x) = - 6 x - 5

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