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) = \frac{x ^{2}}{x - 6}

(2, - 5), (6, - 2)

(4, - 5), (0, 0)

- \frac{1}{9} x^{3} - 3

f (x) = (x - 4)^{2} + 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)