What is the inverse of f(x)=-x^2+8x-14 ?

The inverse of f(x)=-x^2+8x-14 is 4-sqrt(-x+2),sqrt(-x+2)+4

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inverse of f(x)=-x^2+8x-14

inverse

f (x) = - x^{2} + 8 x - 14

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

Solution steps

y = - x^{2} + 8 x - 14

Replace

x

with

y

x = - y^{2} + 8 y - 14

Solve for

y, x = - y^{2} + 8 y - 14

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

f (x) = 11 x + 4

f (x) = x - 7 - 3

f (x) = a x

f (x) = 3 + x^{2} + 4 x

f (x) = - 3 + x + 9

What is the inverse of f(x)=-x^2+8x-14 ?
The inverse of f(x)=-x^2+8x-14 is 4-sqrt(-x+2),sqrt(-x+2)+4