What is the inverse of f(x)=(x+15)/(x-13) ?

The inverse of f(x)=(x+15)/(x-13) is (15+13x)/(x-1)

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inverse of f(x)=(x+15)/(x-13)

inverse

f (x) = \frac{x + 15}{x - 13}

\frac{15 + 13 x}{x - 1}

Solution steps

y = \frac{x + 15}{x - 13}

Replace

x

with

y

x = \frac{y + 15}{y - 13}

Solve for

y, x = \frac{y + 15}{y - 13}

\frac{15 + 13 x}{x - 1}

f (x) = \frac{1}{x} (x - 1)

f (x) = 9 (x + 2)

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

x^{3} + 6 x^{2}

f (x) = x

What is the inverse of f(x)=(x+15)/(x-13) ?
The inverse of f(x)=(x+15)/(x-13) is (15+13x)/(x-1)