What is the inverse of f(x)=x^2+5x+3 ?

The inverse of f(x)=x^2+5x+3 is (-5+sqrt(4x+13))/2 ,(-5-sqrt(4x+13))/2

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inverse of f(x)=x^2+5x+3

inverse

f (x) = x^{2} + 5 x + 3

\frac{- 5 + 4 x + 13}{2}, \frac{- 5 - 4 x + 13}{2}

Solution steps

y = x^{2} + 5 x + 3

Replace

x

with

y

x = y^{2} + 5 y + 3

Solve for

y, x = y^{2} + 5 y + 3

\frac{- 5 + 4 x + 13}{2}, \frac{- 5 - 4 x + 13}{2}

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f (x) = \frac{5000 x}{x + 100}

x^{4} - 32 x^{2} + 150

What is the inverse of f(x)=x^2+5x+3 ?
The inverse of f(x)=x^2+5x+3 is (-5+sqrt(4x+13))/2 ,(-5-sqrt(4x+13))/2