What is the inverse of f(x)=(x+4)/(x+11) ?

The inverse of f(x)=(x+4)/(x+11) is (4-11x)/(x-1)

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inverse of f(x)=(x+4)/(x+11)

inverse

f (x) = \frac{x + 4}{x + 11}

\frac{4 - 11 x}{x - 1}

Solution steps

y = \frac{x + 4}{x + 11}

Replace

x

with

y

x = \frac{y + 4}{y + 11}

Solve for

y, x = \frac{y + 4}{y + 11}

\frac{4 - 11 x}{x - 1}

sin (0.8)

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

f (x) = \frac{5 x + 2}{3 x - 8}

f (x) = 30.931 \cdot e^{0.0272 x}

f (x) = \frac{4 - x}{x - 10}

What is the inverse of f(x)=(x+4)/(x+11) ?
The inverse of f(x)=(x+4)/(x+11) is (4-11x)/(x-1)