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

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

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

inverse

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

- x + 3 - 2, - - x + 3 - 2

Solution steps

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

Replace

x

with

y

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

Solve for

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

- x + 3 - 2, - - x + 3 - 2

y = tan (\frac{x}{3})

5 x - 4 y = - 7

x = (y - 2)^{2}

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

- 6 y = 8 x + 1

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