What is the inverse of f(x)=((x+11))/(x-10) ?

The inverse of f(x)=((x+11))/(x-10) is (11+10x)/(x-1)

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inverse of f(x)=((x+11))/(x-10)

inverse

f (x) = \frac{( x + 11 )}{x - 10}

\frac{11 + 10 x}{x - 1}

Solution steps

y = \frac{x + 11}{x - 10}

Replace

x

with

y

x = \frac{y + 11}{y - 10}

Solve for

y, x = \frac{y + 11}{y - 10}

\frac{11 + 10 x}{x - 1}

f (x) = lo g_{2} (x - 6)

y + 1 = \frac{4}{11} (x + 9)

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

f (x) = \frac{- 4 x - 5}{8}

f (x) = \frac{1}{13} x - 1

What is the inverse of f(x)=((x+11))/(x-10) ?
The inverse of f(x)=((x+11))/(x-10) is (11+10x)/(x-1)