What is the inverse of f(x)=(x-6)/(x-10) ?

The inverse of f(x)=(x-6)/(x-10) is (-6+10x)/(x-1)

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inverse of f(x)=(x-6)/(x-10)

inverse

f (x) = \frac{x - 6}{x - 10}

\frac{- 6 + 10 x}{x - 1}

Solution steps

y = \frac{x - 6}{x - 10}

Replace

x

with

y

x = \frac{y - 6}{y - 10}

Solve for

y, x = \frac{y - 6}{y - 10}

\frac{- 6 + 10 x}{x - 1}

- x^{6} + 5

f (x) = 2 - \frac{6}{x}

\frac{7 x + 2}{x - 4}

What is the inverse of f(x)=(x-6)/(x-10) ?
The inverse of f(x)=(x-6)/(x-10) is (-6+10x)/(x-1)