What is the inverse of f(x)=(x+12)/(x-6) ?

The inverse of f(x)=(x+12)/(x-6) is (12+6x)/(x-1)

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inverse of f(x)=(x+12)/(x-6)

inverse

f (x) = \frac{x + 12}{x - 6}

\frac{12 + 6 x}{x - 1}

Solution steps

y = \frac{x + 12}{x - 6}

Replace

x

with

y

x = \frac{y + 12}{y - 6}

Solve for

y, x = \frac{y + 12}{y - 6}

\frac{12 + 6 x}{x - 1}

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

f (x) = \frac{3 x}{7 - 2 x}

y - 1 = \frac{1}{5} (x + 1)

f (x) = 2 sec (\frac{1}{2} x)

(5, 0), (6, 4)

What is the inverse of f(x)=(x+12)/(x-6) ?
The inverse of f(x)=(x+12)/(x-6) is (12+6x)/(x-1)