What is the inverse of f(x)=((x+14))/(x-10) ?

The inverse of f(x)=((x+14))/(x-10) is (14+10x)/(x-1)

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inverse of f(x)=((x+14))/(x-10)

inverse

f (x) = \frac{( x + 14 )}{x - 10}

\frac{14 + 10 x}{x - 1}

Solution steps

y = \frac{x + 14}{x - 10}

Replace

x

with

y

x = \frac{y + 14}{y - 10}

Solve for

y, x = \frac{y + 14}{y - 10}

\frac{14 + 10 x}{x - 1}

f (x) = 8 (\frac{x}{2}) - 7

6 x - 2

\frac{e ^{x}}{1 + 2 e ^{x}}

f (x) = ln (x - 1)

What is the inverse of f(x)=((x+14))/(x-10) ?
The inverse of f(x)=((x+14))/(x-10) is (14+10x)/(x-1)