What is the inverse of f(x)=(x+4)/(x+12) ?

The inverse of f(x)=(x+4)/(x+12) is (4-12x)/(x-1)

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inverse of f(x)=(x+4)/(x+12)

inverse

f (x) = \frac{x + 4}{x + 12}

\frac{4 - 12 x}{x - 1}

Solution steps

y = \frac{x + 4}{x + 12}

Replace

x

with

y

x = \frac{y + 4}{y + 12}

Solve for

y, x = \frac{y + 4}{y + 12}

\frac{4 - 12 x}{x - 1}

f (x) = \frac{x + 4}{x + 14}

y = \frac{x ^{2}}{x ^{2} + 1}

f (x) = \frac{5 x + 1}{2 x + 3}

f (x) = \frac{x ^{2} + 1}{x ^{4} + 3 x ^{2} + 1}

y = 4 x^{2} + 34 x

What is the inverse of f(x)=(x+4)/(x+12) ?
The inverse of f(x)=(x+4)/(x+12) is (4-12x)/(x-1)