What is the inverse of f(x)=-x^2+10x-15 ?

The inverse of f(x)=-x^2+10x-15 is 5-sqrt(-x+10),sqrt(-x+10)+5

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inverse of f(x)=-x^2+10x-15

inverse

f (x) = - x^{2} + 10 x - 15

5 - - x + 10, - x + 10 + 5

Solution steps

y = - x^{2} + 10 x - 15

Replace

x

with

y

x = - y^{2} + 10 y - 15

Solve for

y, x = - y^{2} + 10 y - 15

5 - - x + 10, - x + 10 + 5

f (x) = x + 4 + 1

\frac{3 x}{2 x + 1}

f (x) = 2^{c o s (x)}

g (x) = \frac{x ^{3}}{8} + 16

\frac{x ^{2}}{2}

What is the inverse of f(x)=-x^2+10x-15 ?
The inverse of f(x)=-x^2+10x-15 is 5-sqrt(-x+10),sqrt(-x+10)+5