What is the inverse of f(x)=(x+5)/(x+13) ?

The inverse of f(x)=(x+5)/(x+13) is (5-13x)/(x-1)

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inverse of f(x)=(x+5)/(x+13)

inverse

f (x) = \frac{x + 5}{x + 13}

\frac{5 - 13 x}{x - 1}

Solution steps

y = \frac{x + 5}{x + 13}

Replace

x

with

y

x = \frac{y + 5}{y + 13}

Solve for

y, x = \frac{y + 5}{y + 13}

\frac{5 - 13 x}{x - 1}

f (x) = 1 - x + 8

f (x) = - x, x \leq 0

f (x) = 25 - 5 x

\frac{s + 1}{s ^{3} + 1}

f (x) = 3 x^{3} - 10

What is the inverse of f(x)=(x+5)/(x+13) ?
The inverse of f(x)=(x+5)/(x+13) is (5-13x)/(x-1)