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}

f (x) = 3 x + 6

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

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

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)