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Popular Functions >

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

Solution

inverse

Solution

- \frac{- 5 + 25 - 4 x}{2}, - \frac{- 5 - 25 - 4 x}{2}

Solution steps

y = 5 x - x^{2}

Replace

x

with

y

x = 5 y - y^{2}

Solve for

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

- \frac{- 5 + 25 - 4 x}{2}, - \frac{- 5 - 25 - 4 x}{2}

Graph

Popular Examples

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asymptotes of f(x)=10^{(x-2)}-5

inflection f(x)=x^3-9x^2-21x+2

intercepts of 4x^3-2sqrt(5)x-4x

Frequently Asked Questions (FAQ)

What is the inverse of f(x)=5x-x^2 ?
The inverse of f(x)=5x-x^2 is -(-5+sqrt(25-4x))/2 ,-(-5-sqrt(25-4x))/2