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

The inverse of f(x)=-x^2+8x is 4-sqrt(-x+16),sqrt(-x+16)+4

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

inverse

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

4 - - x + 16, - x + 16 + 4

Solution steps

y = - x^{2} + 8 x

Replace

x

with

y

x = - y^{2} + 8 y

Solve for

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

4 - - x + 16, - x + 16 + 4

f (x) = 2 x^{2} - 28 x + 98

f (x) = 7^{3 x - 5}

\frac{7 x + 9}{x + 7}

f (x) = lo g_{10} (x^{2})

y = x + 1

What is the inverse of f(x)=-x^2+8x ?
The inverse of f(x)=-x^2+8x is 4-sqrt(-x+16),sqrt(-x+16)+4