What is the inverse of g(x)=7x-x^2 ?

The inverse of g(x)=7x-x^2 is -(-7+sqrt(49-4x))/2 ,-(-7-sqrt(49-4x))/2

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inverse of g(x)=7x-x^2

inverse

g (x) = 7 x - x^{2}

- \frac{- 7 + 49 - 4 x}{2}, - \frac{- 7 - 49 - 4 x}{2}

Solution steps

y = 7 x - x^{2}

Replace

x

with

y

x = 7 y - y^{2}

Solve for

y, x = 7 y - y^{2}

- \frac{- 7 + 49 - 4 x}{2}, - \frac{- 7 - 49 - 4 x}{2}

What is the inverse of g(x)=7x-x^2 ?
The inverse of g(x)=7x-x^2 is -(-7+sqrt(49-4x))/2 ,-(-7-sqrt(49-4x))/2