What is the inverse of f(x)=((x+5))/(x+10) ?

The inverse of f(x)=((x+5))/(x+10) is (5-10x)/(x-1)

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inverse of f(x)=((x+5))/(x+10)

inverse

f (x) = \frac{( x + 5 )}{x + 10}

\frac{5 - 10 x}{x - 1}

Solution steps

y = \frac{x + 5}{x + 10}

Replace

x

with

y

x = \frac{y + 5}{y + 10}

Solve for

y, x = \frac{y + 5}{y + 10}

\frac{5 - 10 x}{x - 1}

f (x) = \frac{3 - 2 x}{x ^{2} - 64}

x^{2} + 6 x + 9

f (x) = (x - 1) (2 x + 3)

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

(- 5, 2), (4, 5)

What is the inverse of f(x)=((x+5))/(x+10) ?
The inverse of f(x)=((x+5))/(x+10) is (5-10x)/(x-1)