What is the inverse of f(x)=((x+11))/(x-8) ?

The inverse of f(x)=((x+11))/(x-8) is (11+8x)/(x-1)

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inverse of f(x)=((x+11))/(x-8)

inverse

f (x) = \frac{( x + 11 )}{x - 8}

\frac{11 + 8 x}{x - 1}

Solution steps

y = \frac{x + 11}{x - 8}

Replace

x

with

y

x = \frac{y + 11}{y - 8}

Solve for

y, x = \frac{y + 11}{y - 8}

\frac{11 + 8 x}{x - 1}

f (x) = (x - 2)^{2} + 4

f (x) = - \frac{2}{x - 3}

f (x) = \frac{x ^{3}}{3} - 81 x

(2, 4), (- 3, - 9)

f (x) = sin (2 x)

What is the inverse of f(x)=((x+11))/(x-8) ?
The inverse of f(x)=((x+11))/(x-8) is (11+8x)/(x-1)