What is the inverse of f(x)=(x+16)/(x-12) ?

The inverse of f(x)=(x+16)/(x-12) is (16+12x)/(x-1)

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inverse of f(x)=(x+16)/(x-12)

inverse

f (x) = \frac{x + 16}{x - 12}

\frac{16 + 12 x}{x - 1}

Solution steps

y = \frac{x + 16}{x - 12}

Replace

x

with

y

x = \frac{y + 16}{y - 12}

Solve for

y, x = \frac{y + 16}{y - 12}

\frac{16 + 12 x}{x - 1}

3 x^{4} + 8 x^{3}

y = - 3 x^{2} + x + 5

f (x) = 3 x^{3} - 3 x^{2} - 3 x + 7

f (x) = x^{2} - 6 x + 7

f (x) = \frac{x + 4}{x + 10}

What is the inverse of f(x)=(x+16)/(x-12) ?
The inverse of f(x)=(x+16)/(x-12) is (16+12x)/(x-1)