What is the inverse of f(x)=(x+2)/(x+12) ?

The inverse of f(x)=(x+2)/(x+12) is (2-12x)/(x-1)

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inverse of f(x)=(x+2)/(x+12)

inverse

f (x) = \frac{x + 2}{x + 12}

\frac{2 - 12 x}{x - 1}

Solution steps

y = \frac{x + 2}{x + 12}

Replace

x

with

y

x = \frac{y + 2}{y + 12}

Solve for

y, x = \frac{y + 2}{y + 12}

\frac{2 - 12 x}{x - 1}

f (x) = \frac{4}{3} π 25 0^{3}

f (x) = \frac{7 x - 8}{3}

f (x) = \frac{( 3 x - 7 )}{( 7 x + 1 )}

f (x) = 3 (x + 1)^{3} - 1

f (x) = \frac{5 x + 6}{7 x + 7}

What is the inverse of f(x)=(x+2)/(x+12) ?
The inverse of f(x)=(x+2)/(x+12) is (2-12x)/(x-1)