What is the inverse of f(x)=((x+12))/((x-10)) ?

The inverse of f(x)=((x+12))/((x-10)) is (12+10x)/(x-1)

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inverse of f(x)=((x+12))/((x-10))

inverse

f (x) = \frac{( x + 12 )}{( x - 10 )}

\frac{12 + 10 x}{x - 1}

Solution steps

y = \frac{x + 12}{x - 10}

Replace

x

with

y

x = \frac{y + 12}{y - 10}

Solve for

y, x = \frac{y + 12}{y - 10}

\frac{12 + 10 x}{x - 1}

\frac{x + 4}{- 2 x - 6}

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

f (x) = 2 + 3 + 4 x

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

\frac{1}{6 x + 7}

What is the inverse of f(x)=((x+12))/((x-10)) ?
The inverse of f(x)=((x+12))/((x-10)) is (12+10x)/(x-1)