What is the inverse of f(x)=-(x+3)^2-4 ?

The inverse of f(x)=-(x+3)^2-4 is sqrt(-x-4)-3,-sqrt(-x-4)-3

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inverse of f(x)=-(x+3)^2-4

inverse

f (x) = - (x + 3)^{2} - 4

- x - 4 - 3, - - x - 4 - 3

Solution steps

y = - (x + 3)^{2} - 4

Replace

x

with

y

x = - (y + 3)^{2} - 4

Solve for

y, x = - (y + 3)^{2} - 4

- x - 4 - 3, - - x - 4 - 3

f (x) = - 2 (x - 2)^{2} + 5

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

- 3 sin (\frac{π}{2} x) + 1

(6.4) (2.8)

f (x) = 5 x^{4} - 6 x^{3}

What is the inverse of f(x)=-(x+3)^2-4 ?
The inverse of f(x)=-(x+3)^2-4 is sqrt(-x-4)-3,-sqrt(-x-4)-3