What is the inverse of f(x)=(x+2)/(x+10) ?

The inverse of f(x)=(x+2)/(x+10) is (2-10x)/(x-1)

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inverse of f(x)=(x+2)/(x+10)

inverse

f (x) = \frac{x + 2}{x + 10}

\frac{2 - 10 x}{x - 1}

Solution steps

y = \frac{x + 2}{x + 10}

Replace

x

with

y

x = \frac{y + 2}{y + 10}

Solve for

y, x = \frac{y + 2}{y + 10}

\frac{2 - 10 x}{x - 1}

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

f (x) = \frac{x - 4}{x - 6}

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

2 x + 3

\frac{x}{sin ( x )}

What is the inverse of f(x)=(x+2)/(x+10) ?
The inverse of f(x)=(x+2)/(x+10) is (2-10x)/(x-1)