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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = 5 x - 3 136 - x^{2}

x^{3} - 3 x^{2}

f (x) = - 2 x - 8

4 cos (x)

\frac{x ^{2} + 4}{x ^{2} - 3 x - 4}

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