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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{( 3 x + 4 )}{5}

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

f (x) = \frac{6}{2 x + 3}

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

f (x) = \frac{1}{2} e^{2 x - 1} - 2

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