What is the inverse of f(x)=(x+24)/(x-6) ?

The inverse of f(x)=(x+24)/(x-6) is (24+6x)/(x-1)

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inverse of f(x)=(x+24)/(x-6)

inverse

f (x) = \frac{x + 24}{x - 6}

\frac{24 + 6 x}{x - 1}

Solution steps

y = \frac{x + 24}{x - 6}

Replace

x

with

y

x = \frac{y + 24}{y - 6}

Solve for

y, x = \frac{y + 24}{y - 6}

\frac{24 + 6 x}{x - 1}

\frac{3}{x} + 4

f (x) = \frac{- 2 x - 9}{- 6 x - 7}

f (x) = - 8 x

f (x) = - 7 x

f (x) = - 16 - \frac{4}{3} x

What is the inverse of f(x)=(x+24)/(x-6) ?
The inverse of f(x)=(x+24)/(x-6) is (24+6x)/(x-1)