What is the inverse of f(x)=((x+5))/(x-7) ?

The inverse of f(x)=((x+5))/(x-7) is (5+7x)/(x-1)

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inverse of f(x)=((x+5))/(x-7)

inverse

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

\frac{5 + 7 x}{x - 1}

Solution steps

y = \frac{x + 5}{x - 7}

Replace

x

with

y

x = \frac{y + 5}{y - 7}

Solve for

y, x = \frac{y + 5}{y - 7}

\frac{5 + 7 x}{x - 1}

12 + 4 x - x^{2}

f (x) = (x - 9), [9, \infty]

y = \frac{x - 2}{5}

f (x) = - \frac{3 x - 5}{x}

(3 x - 2)^{3}

What is the inverse of f(x)=((x+5))/(x-7) ?
The inverse of f(x)=((x+5))/(x-7) is (5+7x)/(x-1)