What is the inverse of (x^2+x-30)/(x-6) ?

The inverse of (x^2+x-30)/(x-6) is (-1+x+sqrt(x^2-26x+121))/2 ,(-1+x-sqrt(x^2-26x+121))/2

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inverse of (x^2+x-30)/(x-6)

inverse

\frac{x ^{2} + x - 30}{x - 6}

\frac{- 1 + x + x ^{2} - 26 x + 121}{2}, \frac{- 1 + x - x ^{2} - 26 x + 121}{2}

Solution steps

y = \frac{x ^{2} + x - 30}{x - 6}

Replace

x

with

y

x = \frac{y ^{2} + y - 30}{y - 6}

Solve for

y, x = \frac{y ^{2} + y - 30}{y - 6}

\frac{- 1 + x + x ^{2} - 26 x + 121}{2}, \frac{- 1 + x - x ^{2} - 26 x + 121}{2}

f (x) = - (x + 1) 2 - 1, x < - \frac{π}{2}

\frac{6 x}{x - 4}

f (x) = \frac{( 2 x + 5 )}{( x - 11 )}

\frac{( x - 1 ) ^{7} + 5}{3}

f (x) = \frac{( x ^{2} - 1 )}{( x ^{2} - 4 )}

What is the inverse of (x^2+x-30)/(x-6) ?
The inverse of (x^2+x-30)/(x-6) is (-1+x+sqrt(x^2-26x+121))/2 ,(-1+x-sqrt(x^2-26x+121))/2