What is the inverse of f(x)=-x^2+6x-10 ?

The inverse of f(x)=-x^2+6x-10 is 3-sqrt(-x-1),sqrt(-x-1)+3

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inverse of f(x)=-x^2+6x-10

inverse

f (x) = - x^{2} + 6 x - 10

3 - - x - 1, - x - 1 + 3

Solution steps

y = - x^{2} + 6 x - 10

Replace

x

with

y

x = - y^{2} + 6 y - 10

Solve for

y, x = - y^{2} + 6 y - 10

3 - - x - 1, - x - 1 + 3

f (x) = \frac{x + 4}{x ^{2} - 9}

f (x) = 2 x^{2}

f (x) = x ln (5 x)

f (x) = 3 x^{4} + 12 x^{3}

\frac{5 e ^{x}}{e ^{x} - 9}

What is the inverse of f(x)=-x^2+6x-10 ?
The inverse of f(x)=-x^2+6x-10 is 3-sqrt(-x-1),sqrt(-x-1)+3