What is the inverse of f(x)=4-sqrt(x^2+12x+27) ?

The inverse of f(x)=4-sqrt(x^2+12x+27) is -6+sqrt(x^2-8x+25),-sqrt(x^2-8x+25)-6

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inverse of f(x)=4-sqrt(x^2+12x+27)

inverse

f (x) = 4 - x^{2} + 12 x + 27

- 6 + x^{2} - 8 x + 25, - x^{2} - 8 x + 25 - 6

Solution steps

y = 4 - x^{2} + 12 x + 27

Replace

x

with

y

x = 4 - y^{2} + 12 y + 27

Solve for

y, x = 4 - y^{2} + 12 y + 27

- 6 + x^{2} - 8 x + 25, - x^{2} - 8 x + 25 - 6

f (x) = 0.5 (x - 6)^{2} - 3

\frac{5 x + 2}{14 x ^{2}}

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

f (x) = \frac{3 x - 4}{3 - x}

f (x) = 3 (x + 2)^{2} + 1

What is the inverse of f(x)=4-sqrt(x^2+12x+27) ?
The inverse of f(x)=4-sqrt(x^2+12x+27) is -6+sqrt(x^2-8x+25),-sqrt(x^2-8x+25)-6