What is the inverse of (sqrt(x+5))/(x-6) ?

The inverse of (sqrt(x+5))/(x-6) is (12x^2+1+sqrt(44x^2+1))/(2x^2),(12x^2+1-sqrt(44x^2+1))/(2x^2)

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inverse of (sqrt(x+5))/(x-6)

inverse

\frac{x + 5}{x - 6}

\frac{12 x ^{2} + 1 + 44 x ^{2} + 1}{2 x ^{2}}, \frac{12 x ^{2} + 1 - 44 x ^{2} + 1}{2 x ^{2}}

Solution steps

y = \frac{x + 5}{x - 6}

Replace

x

with

y

x = \frac{y + 5}{y - 6}

Solve for

y, x = \frac{y + 5}{y - 6}

\frac{12 x ^{2} + 1 + 44 x ^{2} + 1}{2 x ^{2}}, \frac{12 x ^{2} + 1 - 44 x ^{2} + 1}{2 x ^{2}}

f (x) = 3 x + 11

(4 (- 2) - 1)^{(- 1)}

g (x) = \frac{- 4}{x}

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

f (x) = - - x, x \leq 0

What is the inverse of (sqrt(x+5))/(x-6) ?
The inverse of (sqrt(x+5))/(x-6) is (12x^2+1+sqrt(44x^2+1))/(2x^2),(12x^2+1-sqrt(44x^2+1))/(2x^2)