What is the inverse of f(x)=-(x-5)^2+2 ?

The inverse of f(x)=-(x-5)^2+2 is sqrt(-x+2)+5,-sqrt(-x+2)+5

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inverse of f(x)=-(x-5)^2+2

inverse

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

- x + 2 + 5, - - x + 2 + 5

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = - (y - 5)^{2} + 2

- x + 2 + 5, - - x + 2 + 5

f (x) = 4 - 2 x - 5

f (x) = \frac{x}{( x - 4 ) ( x + 2 )}

f (x) = 7 x^{2} + 7 x + 9

- 5 sin (2 π x + 5)

y = - x

What is the inverse of f(x)=-(x-5)^2+2 ?
The inverse of f(x)=-(x-5)^2+2 is sqrt(-x+2)+5,-sqrt(-x+2)+5