What is the inverse of f(x)=sqrt(-2x-2)+6 ?

The inverse of f(x)=sqrt(-2x-2)+6 is -(x^2-12x+38)/2

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inverse of f(x)=sqrt(-2x-2)+6

inverse

f (x) = - 2 x - 2 + 6

- \frac{x ^{2} - 12 x + 38}{2}

Solution steps

y = - 2 x - 2 + 6

Replace

x

with

y

x = - 2 y - 2 + 6

Solve for

y, x = - 2 y - 2 + 6

- \frac{x ^{2} - 12 x + 38}{2}

3 x + 15

f (x) = (\frac{1}{4} x + 6)^{3}

f (x) = \frac{9 - x}{x + 4}

f (x) = \frac{1}{3 - x}

f (x) = x^{2} + 3, x \leq 0

What is the inverse of f(x)=sqrt(-2x-2)+6 ?
The inverse of f(x)=sqrt(-2x-2)+6 is -(x^2-12x+38)/2