What is the inverse of f(x)=((x+13))/(x-10) ?

The inverse of f(x)=((x+13))/(x-10) is (13+10x)/(x-1)

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inverse of f(x)=((x+13))/(x-10)

inverse

f (x) = \frac{( x + 13 )}{x - 10}

\frac{13 + 10 x}{x - 1}

Solution steps

y = \frac{x + 13}{x - 10}

Replace

x

with

y

x = \frac{y + 13}{y - 10}

Solve for

y, x = \frac{y + 13}{y - 10}

\frac{13 + 10 x}{x - 1}

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

(- 1.6), (- 4.1)

3 x + 15 y = - 135

12 x - 3 y - 12 = 0

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

What is the inverse of f(x)=((x+13))/(x-10) ?
The inverse of f(x)=((x+13))/(x-10) is (13+10x)/(x-1)