What is the inverse of f(x)=((x+14))/((x-12)) ?

The inverse of f(x)=((x+14))/((x-12)) is (14+12x)/(x-1)

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inverse of f(x)=((x+14))/((x-12))

inverse

f (x) = \frac{( x + 14 )}{( x - 12 )}

\frac{14 + 12 x}{x - 1}

Solution steps

y = \frac{x + 14}{x - 12}

Replace

x

with

y

x = \frac{y + 14}{y - 12}

Solve for

y, x = \frac{y + 14}{y - 12}

\frac{14 + 12 x}{x - 1}

f (x) = 2 x + 3

f (x) = \frac{5}{x ^{2} + 5 x - 6}

f (x) = 5^{- x}

\frac{4 x}{x - 2}

What is the inverse of f(x)=((x+14))/((x-12)) ?
The inverse of f(x)=((x+14))/((x-12)) is (14+12x)/(x-1)