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

The inverse of f(x)=-x^2+2x+5 is 1-sqrt(-x+6),sqrt(-x+6)+1

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

inverse

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

1 - - x + 6, - x + 6 + 1

Solution steps

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

Replace

x

with

y

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

Solve for

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

1 - - x + 6, - x + 6 + 1

f (x) = (x + 4)^{2} - 6

\frac{1}{x ^{6}}

f (x) = \frac{5 x + 4}{- 3 x - 4}

f (x) = - \frac{x + 10}{18}

\frac{d}{d} (- 7 A)

What is the inverse of f(x)=-x^2+2x+5 ?
The inverse of f(x)=-x^2+2x+5 is 1-sqrt(-x+6),sqrt(-x+6)+1