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

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

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

inverse

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

- x + 4 - 2, - - x + 4 - 2

Solution steps

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

Replace

x

with

y

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

Solve for

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

- x + 4 - 2, - - x + 4 - 2

f (x) = \frac{6 x - 10}{5 x - 5}

arctan (ln (3 x))

\frac{3 x}{8 x - 1}

f (x) = \frac{x + 1}{6 x + 7}

f (x) = x, x < 1

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