What is the inverse of f(x)=(x+2)/(x+11) ?

The inverse of f(x)=(x+2)/(x+11) is (2-11x)/(x-1)

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inverse of f(x)=(x+2)/(x+11)

inverse

f (x) = \frac{x + 2}{x + 11}

\frac{2 - 11 x}{x - 1}

Solution steps

y = \frac{x + 2}{x + 11}

Replace

x

with

y

x = \frac{y + 2}{y + 11}

Solve for

y, x = \frac{y + 2}{y + 11}

\frac{2 - 11 x}{x - 1}

\frac{1}{x ^{3}} - 2

f (x) = e^{x + 3} - 4

f (x) = 5 (x + 2)

f (x) = \frac{( 2 + 4 x )}{- 4 - 5 x}

f (x) = \frac{3}{x - 1} + 1

What is the inverse of f(x)=(x+2)/(x+11) ?
The inverse of f(x)=(x+2)/(x+11) is (2-11x)/(x-1)