What is the inverse of f(x)=(x+16)/(x-13) ?

The inverse of f(x)=(x+16)/(x-13) is (16+13x)/(x-1)

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inverse of f(x)=(x+16)/(x-13)

inverse

f (x) = \frac{x + 16}{x - 13}

\frac{16 + 13 x}{x - 1}

Solution steps

y = \frac{x + 16}{x - 13}

Replace

x

with

y

x = \frac{y + 16}{y - 13}

Solve for

y, x = \frac{y + 16}{y - 13}

\frac{16 + 13 x}{x - 1}

f (x) = lo g_{3} (x + 7)

f (x) = ln (x) + ln (7 - x)

\frac{1}{x ^{2} - 7 x + 12}

f (x) = \frac{3 x ^{3} - 6 x ^{2}}{x - 2}

- 5 cos (3 x)

What is the inverse of f(x)=(x+16)/(x-13) ?
The inverse of f(x)=(x+16)/(x-13) is (16+13x)/(x-1)