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}

m o n o t o n e x^{3} + 6 x^{2}

s l o p e in t erce pt 20 x - 20 y = 3

in v erse y = - 8 x + 3

a sy m pt o t es f (x) = \frac{x - 6}{x ^{2} + 2}

in v erse f (x) = \frac{5}{2 - x}, x < 2

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)