What is the inverse of f(x)=(sqrt(-x+6))+12 ?

The inverse of f(x)=(sqrt(-x+6))+12 is -x^2+24x-138

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inverse of f(x)=(sqrt(-x+6))+12

inverse

f (x) = (- x + 6) + 12

- x^{2} + 24 x - 138

Solution steps

y = - x + 6 + 12

Replace

x

with

y

x = - y + 6 + 12

Solve for

y, x = - y + 6 + 12

- x^{2} + 24 x - 138

f (x) = \frac{x ^{2} - 36}{10 x + 2}

14

y = x - 4

f (x) = - x^{5} - 3

y = 4 x + 8

What is the inverse of f(x)=(sqrt(-x+6))+12 ?
The inverse of f(x)=(sqrt(-x+6))+12 is -x^2+24x-138