What is the inverse of f(x)=-3sqrt(x-6)+5 ?

The inverse of f(x)=-3sqrt(x-6)+5 is (x^2-10x+25)/9+6

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inverse of f(x)=-3sqrt(x-6)+5

inverse

f (x) = - 3 x - 6 + 5

\frac{x ^{2} - 10 x + 25}{9} + 6

Solution steps

y = - 3 x - 6 + 5

Replace

x

with

y

x = - 3 y - 6 + 5

Solve for

y, x = - 3 y - 6 + 5

\frac{x ^{2} - 10 x + 25}{9} + 6

f (x) = \frac{- 2 x - 8}{x ^{2} + 6 x + 8}

\frac{1}{( x + 2 ) ( x - 3 )}

\frac{x + 2}{x - 5}

y = x^{2} - 6

(- 7, - 4), (- 1, 6)

What is the inverse of f(x)=-3sqrt(x-6)+5 ?
The inverse of f(x)=-3sqrt(x-6)+5 is (x^2-10x+25)/9+6