What is the inverse of f(x)=((x+4))/(x+10) ?

The inverse of f(x)=((x+4))/(x+10) is (4-10x)/(x-1)

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inverse of f(x)=((x+4))/(x+10)

inverse

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

\frac{4 - 10 x}{x - 1}

Solution steps

y = \frac{x + 4}{x + 10}

Replace

x

with

y

x = \frac{y + 4}{y + 10}

Solve for

y, x = \frac{y + 4}{y + 10}

\frac{4 - 10 x}{x - 1}

+ cos^{2} (x)

y = - x

f (x) = 2 \cdot arctan (x)

(x - 7)^{2} + 6

f (x) = (\frac{7}{1})^{- 3}

What is the inverse of f(x)=((x+4))/(x+10) ?
The inverse of f(x)=((x+4))/(x+10) is (4-10x)/(x-1)